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Smooth Quasigroups and Loops
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Mirror Geometry of Lie Algebras, Lie Groups and Homogeneous Spaces (Mathematics and Its Applications, 573)
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Mirror Geometry Of Lie Algebras, Lie Groups And Homogeneous Spaces
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Mirror Geometry Of Lie Algebras, Lie Groups And Homogeneous Spaces
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Smooth Quasigroups and Loops
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Mirror Geometry of Lie Algebras, Lie Groups and Homogeneous Spaces
Lingua: Inglese
Editore: Kluwer Academic Publishers, Dordrecht, 2004
ISBN 10: 1402025440 ISBN 13: 9781402025440
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Aggiungi al carrelloHardcover. Condizione: Very Good. Condizione sovraccoperta: No Dust Jacket. Hard cover, no jacket intended, in very good condition, from the collection of a London Professor of Mathematics, (ret'd.). Boards are tanned, notably the spine, otherwise in fine condition; pages tightly bound, content unmarked. CN.
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Mirror Geometry of Lie Algebras, Lie Groups and Homogeneous Spaces (Mathematics and Its Applications)
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Aggiungi al carrelloPaperback. Condizione: Brand New. 2004 edition. 330 pages. 9.25x6.25x0.76 inches. In Stock.
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Non-Associative Algebra and Its Applications (Lecture Notes in Pure and Applied Mathematics)
Libro 28 di 142: Lecture Notes in Pure and Applied MathematicsDa: Peak Pearl LLC, Holly Springs, NC, U.S.A.
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Aggiungi al carrelloGebunden. Condizione: New. As K. Nomizu has justly noted [K. Nomizu, 56], Differential Geometry ever will be initiating newer and newer aspects of the theory of Lie groups. This monograph is devoted to just some such aspects of Lie groups and Lie algebras. New differential geometric .
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Mirror Geometry Of Lie Algebras, Lie Groups And Homogeneous Spaces
Da: GreatBookPricesUK, Woodford Green, Regno Unito
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Smooth Quasigroups and Loops
Lingua: Inglese
Editore: Springer Netherlands, Springer Netherlands Aug 1999, 1999
ISBN 10: 0792359208 ISBN 13: 9780792359203
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Aggiungi al carrelloBuch. Condizione: Neu. Neuware -During the last twenty-five years quite remarkable relations between nonas sociative algebra and differential geometry have been discovered in our work. Such exotic structures of algebra as quasigroups and loops were obtained from purely geometric structures such as affinely connected spaces. The notion ofodule was introduced as a fundamental algebraic invariant of differential geometry. For any space with an affine connection loopuscular, odular and geoodular structures (partial smooth algebras of a special kind) were introduced and studied. As it happened, the natural geoodular structure of an affinely connected space al lows us to reconstruct this space in a unique way. Moreover, any smooth ab stractly given geoodular structure generates in a unique manner an affinely con nected space with the natural geoodular structure isomorphic to the initial one. The above said means that any affinely connected (in particular, Riemannian) space can be treated as a purely algebraic structure equipped with smoothness. Numerous habitual geometric properties may be expressed in the language of geoodular structures by means of algebraic identities, etc. Our treatment has led us to the purely algebraic concept of affinely connected (in particular, Riemannian) spaces; for example, one can consider a discrete, or, even, finite space with affine connection (in the form ofgeoodular structure) which can be used in the old problem of discrete space-time in relativity, essential for the quantum space-time theory.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 272 pp. Englisch.
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Mirror Geometry of Lie Algebras, Lie Groups and Homogeneous Spaces (Mathematics and Its Applications)
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Aggiungi al carrelloTaschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - As K. Nomizu has justly noted [K. Nomizu, 56], Differential Geometry ever will be initiating newer and newer aspects of the theory of Lie groups. This monograph is devoted to just some such aspects of Lie groups and Lie algebras. New differential geometric problems came into being in connection with so called subsymmetric spaces, subsymmetries, and mirrors introduced in our works dating back to 1957 [L.V. Sabinin, 58a,59a,59b]. In addition, the exploration of mirrors and systems of mirrors is of interest in the case of symmetric spaces. Geometrically, the most rich in content there appeared to be the homogeneous Riemannian spaces with systems of mirrors generated by commuting subsymmetries, in particular, so called tri-symmetric spaces introduced in [L.V. Sabinin, 61b]. As to the concrete geometric problem which needs be solved and which is solved in this monograph, we indicate, for example, the problem of the classification of all tri-symmetric spaces with simple compact groups of motions. Passing from groups and subgroups connected with mirrors and subsymmetries to the corresponding Lie algebras and subalgebras leads to an important new concept of the involutive sum of Lie algebras [L.V. Sabinin, 65]. This concept is directly concerned with unitary symmetry of elementary par- cles (see [L.V. Sabinin, 95,85] and Appendix 1). The first examples of involutive (even iso-involutive) sums appeared in the - ploration of homogeneous Riemannian spaces with and axial symmetry. The consideration of spaces with mirrors [L.V. Sabinin, 59b] again led to iso-involutive sums.
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Aggiungi al carrelloTaschenbuch. Condizione: Neu. Mirror Geometry of Lie Algebras, Lie Groups and Homogeneous Spaces | Lev V. Sabinin | Taschenbuch | xvii | Englisch | 2010 | Springer | EAN 9789048166763 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
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Mirror Geometry of Lie Algebras, Lie Groups and Homogeneous Spaces (Mathematics and Its Applications)
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Smooth Quasigroups and Loops
Lingua: Inglese
Editore: Springer Netherlands, Springer Netherlands, 1999
ISBN 10: 0792359208 ISBN 13: 9780792359203
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Aggiungi al carrelloBuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - During the last twenty-five years quite remarkable relations between nonas sociative algebra and differential geometry have been discovered in our work. Such exotic structures of algebra as quasigroups and loops were obtained from purely geometric structures such as affinely connected spaces. The notion ofodule was introduced as a fundamental algebraic invariant of differential geometry. For any space with an affine connection loopuscular, odular and geoodular structures (partial smooth algebras of a special kind) were introduced and studied. As it happened, the natural geoodular structure of an affinely connected space al lows us to reconstruct this space in a unique way. Moreover, any smooth ab stractly given geoodular structure generates in a unique manner an affinely con nected space with the natural geoodular structure isomorphic to the initial one. The above said means that any affinely connected (in particular, Riemannian) space can be treated as a purely algebraic structure equipped with smoothness. Numerous habitual geometric properties may be expressed in the language of geoodular structures by means of algebraic identities, etc. Our treatment has led us to the purely algebraic concept of affinely connected (in particular, Riemannian) spaces; for example, one can consider a discrete, or, even, finite space with affine connection (in the form ofgeoodular structure) which can be used in the old problem of discrete space-time in relativity, essential for the quantum space-time theory.
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Mirror Geometry Of Lie Algebras, Lie Groups And Homogeneous Spaces
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Smooth Quasigroups and Loops
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Smooth Quasigroups and Loops
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Aggiungi al carrelloBuch. Condizione: Neu. Neuware - As K. Nomizu has justly noted [K. Nomizu, 56], Differential Geometry ever will be initiating newer and newer aspects of the theory of Lie groups. This monograph is devoted to just some such aspects of Lie groups and Lie algebras. New differential geometric problems came into being in connection with so called subsymmetric spaces, subsymmetries, and mirrors introduced in our works dating back to 1957 [L.V. Sabinin, 58a,59a,59b]. In addition, the exploration of mirrors and systems of mirrors is of interest in the case of symmetric spaces. Geometrically, the most rich in content there appeared to be the homogeneous Riemannian spaces with systems of mirrors generated by commuting subsymmetries, in particular, so called tri-symmetric spaces introduced in [L.V. Sabinin, 61b]. As to the concrete geometric problem which needs be solved and which is solved in this monograph, we indicate, for example, the problem of the classification of all tri-symmetric spaces with simple compact groups of motions. Passing from groups and subgroups connected with mirrors and subsymmetries to the corresponding Lie algebras and subalgebras leads to an important new concept of the involutive sum of Lie algebras [L.V. Sabinin, 65]. This concept is directly concerned with unitary symmetry of elementary par- cles (see [L.V. Sabinin, 95,85] and Appendix 1). The first examples of involutive (even iso-involutive) sums appeared in the - ploration of homogeneous Riemannian spaces with and axial symmetry. The consideration of spaces with mirrors [L.V. Sabinin, 59b] again led to iso-involutive sums.
-
Non-Associative Algebra and Its Applications (Lecture Notes in Pure and Applied Mathematics)
Lingua: Inglese
Editore: Chapman and Hall/CRC 2017-10-02, 2017
ISBN 10: 1138402060 ISBN 13: 9781138402065
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Non-associative Algebra and Its Applications
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Non-associative Algebra and Its Applications
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Non-associative Algebra and Its Applications
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Non-associative Algebra and Its Applications
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Non-Associative Algebra and Its Applications
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Non-Associative Algebra and Its Applications
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Aggiungi al carrelloGebunden. Condizione: New. Lev Sabinin, Larissa Sbitneva, Ivan ShestakovWith contributions derived from presentations at an international conference, Non-Associative Algebra and Its Applications explores a wide range of topics focusing on Lie algebras, nonassociative rings and al.
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Non-Associative Algebra and Its Applications
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Non-Associative Algebra and Its Applications (Lecture Notes in Pure and Applied Mathematics)
Libro 28 di 142: Lecture Notes in Pure and Applied MathematicsLingua: Inglese
Editore: Chapman and Hall/CRC (edition 1), 2006
ISBN 10: 0824726693 ISBN 13: 9780824726690
Da: BooksRun, Philadelphia, PA, U.S.A.
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Paperback. Condizione: Very Good. 1. It's a well-cared-for item that has seen limited use. The item may show minor signs of wear. All the text is legible, with all pages included. It may have slight markings and/or highlighting.
