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Schubert filtration for simple quotients of generalized Verma modules

✍ Scribed by Alexandre Khomenko; Volodymyr Mazorchuk


Book ID
105555901
Publisher
Springer Netherlands
Year
2000
Tongue
English
Weight
402 KB
Volume
38
Category
Article
ISSN
0004-2080

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📜 SIMILAR VOLUMES


On the Determinant of Shapovalov Form fo
✍ Alexandre Khomenko; Volodymyr Mazorchuk 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 146 KB

We define a generalization of the Shapovalov form for contragradient Lie algebras and compute its determinant for Generalized Verma modules induced Ž . from a well-embedded sl 2, ‫ރ‬ subalgebra. As a corollary we obtain a generalization of the BGG-theorem for Generalized Verma modules.

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✍ Corrado Marastoni 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 103 KB

Let G be a connected semisimple algebraic group over C, P a parabolic subgroup, g and p their Lie algebras. We prove a microlocal version of Gyoja's conjectures [2] about a relation between the irreducibility of generalized Verma modules on g induced from p and the zeroes of b-functions of P -semi-i

Some Simple Projective Brauer Quotients
✍ Luis Valero-Elizondo 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 159 KB

2᎐22 the number of simple kS -modules equals the number of weights for S , n n where S is the symmetric group on n symbols and k is a field of characteristic n p ) 0. In this paper we answer the question, ''When is the Brauer quotient of a simple F S -module V with respect to a subgroup H of S both