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D-Modules and Spherical Representations. (MN-39)
Frederic V. Bien
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Description for D-Modules and Spherical Representations. (MN-39)
Hardback. Series: Princeton Legacy Library. Num Pages: 142 pages, black & white illustrations. BIC Classification: PBMP; PBPH. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 229 x 152 x 10. Weight in Grams: 371.
The theory of D-modules deals with the algebraic aspects of differential equations. These are particularly interesting on homogeneous manifolds, since the infinitesimal action of a Lie algebra consists of differential operators. Hence, it is possible to attach geometric invariants, like the support and the characteristic variety, to representations of Lie groups. By considering D-modules on flag varieties, one obtains a simple classification of all irreducible admissible representations of reductive Lie groups. On the other hand, it is natural to study the representations realized by functions on pseudo-Riemannian symmetric spaces, i.e., spherical representations. The problem is then to describe the spherical ... Read more
The theory of D-modules deals with the algebraic aspects of differential equations. These are particularly interesting on homogeneous manifolds, since the infinitesimal action of a Lie algebra consists of differential operators. Hence, it is possible to attach geometric invariants, like the support and the characteristic variety, to representations of Lie groups. By considering D-modules on flag varieties, one obtains a simple classification of all irreducible admissible representations of reductive Lie groups. On the other hand, it is natural to study the representations realized by functions on pseudo-Riemannian symmetric spaces, i.e., spherical representations. The problem is then to describe the spherical ... Read more
Product Details
Format
Hardback
Publication date
2017
Publisher
Princeton University Press United States
Number of pages
142
Condition
New
Series
Princeton Legacy Library
Number of Pages
142
Place of Publication
New Jersey, United States
ISBN
9780691636795
SKU
V9780691636795
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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