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Filtering by: Keyword representation theory Resource type Dissertation

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Almost-Gelfand Property of Symmetric Pairs

Description:

In this paper, we show almost-Gelfand property of connected symmetric pairs (G, H) over finite fields of large characteristics by showing almost-sigma-invariant property of double coset H\G/H where sigma is the associated anti-involution combining with epsilon-version of Gelfand's trick

Keyword:

symmetric pair, representation theory, and Gelfand pair

Subject:

Mathematics

Creator:

Nan Shi

Owner:

Scholarly Digital Publishing

Date Uploaded:

04/01/2019

Date Modified:

04/01/2019

Date Created:

2018-01-01

Resource Type:

Dissertation
Geometric Langlands Duality and Forms of Reductive Groups

Description:

The Satake category is the category of perverse sheaves on the affine Grassmannian of a complex reductive group G. The global cohomology functor induces a tensor equivalence between the Satake category and the category of finite-dimensional representations of the split form of the Langlands dual group of G. We give...

Keyword:

Satake isomorphism, Geometric Langlands program, representation theory, and forms of reductive groups

Subject:

Mathematics

Creator:

Vivek Dhand

Owner:

Scholarly Digital Publishing

Date Uploaded:

08/29/2018

Date Modified:

08/29/2018

Date Created:

2007-12-07

Resource Type:

Dissertation