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Unitary Representations of Maximal Parabolic Subgroups of the Classical Groups
 
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
Unitary Representations of Maximal Parabolic Subgroups of the Classical Groups
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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
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 81976; 193 pp
    MSC: Primary 22
  • Table of Contents
     
     
    • 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
    • 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
    • 11. Representations of the little-groups $J_{d;u,2v}(F)$
    • Part IV. Orthogonal groups
    • 12. Parabolic subgroups of complex orthogonal groups
    • 13. Structure of parabolic subgroups of $\mathrm {SO}^*(2m)$
    • 14. The nilradical and the intermediate group for $\mathrm {SO}^*(2m)$
    • 15. Representations of the maximal parabolic subgroups of $\mathrm {SO}^*(2m)$
    • Appendix. Induced representation
  • Requests
     
     
    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
Volume: 81976; 193 pp
MSC: Primary 22
  • 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
  • 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
  • 11. Representations of the little-groups $J_{d;u,2v}(F)$
  • Part IV. Orthogonal groups
  • 12. Parabolic subgroups of complex orthogonal groups
  • 13. Structure of parabolic subgroups of $\mathrm {SO}^*(2m)$
  • 14. The nilradical and the intermediate group for $\mathrm {SO}^*(2m)$
  • 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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