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Harish-Chandra presented these lectures on admissible invariant distributions for p-adic groups at the Institute for Advanced Study in the early 1970s. He published a short sketch of this material as his famous "Queen's Notes". This book, which was prepared and edited by DeBacker and Sally, presents a faithful rendering of Harish-Chandra's original lecture notes.
The main purpose of Harish-Chandra's lectures was to show that the character of an irreducible admissible representation of a connected reductive p-adic group G is represented by a locally summable function on G. A key ingredient in this proof is the study of the Fourier transforms of distributions on g, the Lie algebra of G. In particular, Harish-Chandra shows that if the support of a G-invariant distribution on g is compactly generated, then its Fourier transform has an asymptotic expansion about any semisimple point of g.
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Book by HarishChandra Notes by Stephen DeBacker and Paul J
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Admissible Invariant Distributions on Reductive P-adic Groups
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Admissible Invariant Distributions on Reductive P-adic Groups
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American Mathematical Society, US, 1999
ISBN 10: 0821820257
ISBN 13: 9780821820254
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Paperback. Condizione: New. Harish-Chandra presented these lectures on admissible invariant distributions for $p$-adic groups at the Institute for Advanced Study in the early 1970s. He published a short sketch of this material as his famous ""Queen's Notes"". This book, which was prepared and edited by DeBacker and Sally, presents a faithful rendering of Harish-Chandra's original lecture notes. The main purpose of Harish-Chandra's lectures was to show that the character of an irreducible admissible representation of a connected reductive $p$-adic group $G$ is represented by a locally summable function on $G$. A key ingredient in this proof is the study of the Fourier transforms of distributions on $\mathfrak g$, the Lie algebra of $G$. In particular, Harish-Chandra shows that if the support of a $G$-invariant distribution on $\mathfrak g$ is compactly generated, then its Fourier transform has an asymptotic expansion about any semisimple point of $\mathfrak g$.Harish-Chandra's remarkable theorem on the local summability of characters for $p$-adic groups was a major result in representation theory that spawned many other significant results. This book presents, for the first time in print, a complete account of Harish-Chandra's original lectures on this subject, including his extension and proof of Howe's Theorem. In addition to the original Harish-Chandra notes, DeBacker and Sally provide a nice summary of developments in this area of mathematics since the lectures were originally delivered. In particular, they discuss quantitative results related to the local character expansion. Codice articolo LU-9780821820254
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Admissible Invariant Distributions on Reductive P-Adic Groups
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American Mathematical Society, 1999
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ISBN 13: 9780821820254
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Condizione: New. Harish-Chandra's remarkable theorem on the local summability of characters for $p$-adic groups was a major result in representation theory that spawned many other significant results. This book presents a complete account of Harish-Chandra's original lectures on this subject, including his extension and proof of Howe's Theorem. Series: University Lecture Series. Num Pages: 97 pages. BIC Classification: PBF; PBKF. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 252 x 182 x 6. Weight in Grams: 204. . 1999. Paperback. . . . . Codice articolo V9780821820254
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American Mathematical Society, 1999
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ISBN 13: 9780821820254
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American Mathematical Society, 1999
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ISBN 13: 9780821820254
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Admissible Invariant Distributions on Reductive P-Adic Groups
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American Mathematical Society, 1999
ISBN 10: 0821820257
ISBN 13: 9780821820254
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Condizione: New. Harish-Chandra's remarkable theorem on the local summability of characters for $p$-adic groups was a major result in representation theory that spawned many other significant results. This book presents a complete account of Harish-Chandra's original lectures on this subject, including his extension and proof of Howe's Theorem. Series: University Lecture Series. Num Pages: 97 pages. BIC Classification: PBF; PBKF. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 252 x 182 x 6. Weight in Grams: 204. . 1999. Paperback. . . . . Books ship from the US and Ireland. Codice articolo V9780821820254
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American Mathematical Society, 1999
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ISBN 13: 9780821820254
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Admissible Invariant Distributions on Reductive P-Adic Groups
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American Mathematical Society, 1999
ISBN 10: 0821820257
ISBN 13: 9780821820254
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