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math.RT2004★ 1 cited
On a class of double cosets in reductive algebraic groups
Jiang-Hua Lu, Milen Yakimov
We study a class of double coset spaces R_A \backslash G_1 \times G_2 /R_C, where G_1 and G_2 are connected reductive algebraic groups, and R_A and R_C are certain spherical subgro…
math.RT2003
Affine Jacquet functors and Harish-Chandra categories
Milen Yakimov
We define an affine Jacquet functor and use it to describe the structure of induced affine Harish-Chandra modules at noncritical levels, extending the theorem of Kac and Kazhdan [K…
math.RT2002★ 1 cited
Categories of modules over an affine Kac-Moody algebra and the Kazhdan-Lusztig tensor product
Milen Yakimov
To each category C of modules of finite length over a complex simple Lie algebra g, closed under tensoring with finite dimensional modules, we associate and study a category Aff(C)…