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Unitary Representations of Maximal Parabolic Subgroups of the Classical Groups
eBook ISBN: | 978-1-4704-0827-5 |
Product Code: | MEMO/8/180.E |
List Price: | $28.00 |
MAA Member Price: | $25.20 |
AMS Member Price: | $16.80 |
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Unitary Representations of Maximal Parabolic Subgroups of the Classical Groups
eBook ISBN: | 978-1-4704-0827-5 |
Product Code: | MEMO/8/180.E |
List Price: | $28.00 |
MAA Member Price: | $25.20 |
AMS Member Price: | $16.80 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 8; 1976; 193 ppMSC: Primary 22
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Table of Contents
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Chapters
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0. Introduction
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Part I. Linear groups
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1. Parabolic subgroups of general linear groups
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Part II. Unitary groups
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2. Parabolic subgroups of unitary groups: Statement of structure
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3. Parabolic subgroups of unitary groups: Proof of structure
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4. Unitary representations of the nilradical
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5. Representations of the groups $G_{s;t,u}(F)$
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6. Representations of the maximal parabolic subgroups
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7. Representations of the little-groups $J_{d;e,a,b}(F)$
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Part III. Symplectic groups
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8. Parabolic subgroups of symplectic and metaplectic groups
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9. Representations of the nilradical and the intermediate group
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10. Representations of the maximal parabolic subgroups
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11. Representations of the little-groups $J_{d;u,2v}(F)$
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Part IV. Orthogonal groups
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12. Parabolic subgroups of complex orthogonal groups
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13. Structure of parabolic subgroups of $\mathrm {SO}^*(2m)$
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14. The nilradical and the intermediate group for $\mathrm {SO}^*(2m)$
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15. Representations of the maximal parabolic subgroups of $\mathrm {SO}^*(2m)$
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Appendix. Induced representation
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Requests
-
Chapters
-
0. Introduction
-
Part I. Linear groups
-
1. Parabolic subgroups of general linear groups
-
Part II. Unitary groups
-
2. Parabolic subgroups of unitary groups: Statement of structure
-
3. Parabolic subgroups of unitary groups: Proof of structure
-
4. Unitary representations of the nilradical
-
5. Representations of the groups $G_{s;t,u}(F)$
-
6. Representations of the maximal parabolic subgroups
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7. Representations of the little-groups $J_{d;e,a,b}(F)$
-
Part III. Symplectic groups
-
8. Parabolic subgroups of symplectic and metaplectic groups
-
9. Representations of the nilradical and the intermediate group
-
10. Representations of the maximal parabolic subgroups
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11. Representations of the little-groups $J_{d;u,2v}(F)$
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Part IV. Orthogonal groups
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12. Parabolic subgroups of complex orthogonal groups
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13. Structure of parabolic subgroups of $\mathrm {SO}^*(2m)$
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14. The nilradical and the intermediate group for $\mathrm {SO}^*(2m)$
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15. Representations of the maximal parabolic subgroups of $\mathrm {SO}^*(2m)$
-
Appendix. Induced representation
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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