منابع مشابه
Parabolic twists for algebras sl(n)
New solutions of twist equations for universal enveloping algebras U (An−1) are found. They can be presented as products of full chains of extended Jordanian twists F ĉh , Abelian factors (”rotations”) F and sets of quasi-Jordanian twists F Ĵ . The latter are the generalizations of Jordanian twists (with carrier b) for special deformed extensions of the Hopf algebra U ( b ) . The carrier subalg...
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1.1. Let G be a simply connected semisimple group with Borel subgroup B, N = [B,B] and let H = B/N . Let g, b, n and h be the respective Lie algebras of these groups. Let G be the Langlands dual group with dual Borel B, etc. Let X be a smooth curve or the formal disc D or the formal punctured disc D×. 1.2. Recall that a g-oper over X is a G-bundle FLG = F with a reduction FLB to B and a connect...
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We will restrict out attention to the simplest possible case, namely G = SL2(R), Γ = SL2(Z), and right K = SO(2)-invariant functions on Γ\G. That is, we neglect the finite primes and holomorphic automorphic forms. Let N be the subgroup of G consisting of upper-triangular unipotent matrices, and P the parabolic subgroup consisting of all upper-triangular matrices. For simplicity we give K total ...
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Let g be a finite dimensional real Lie algebra. Let ρ : g → End(V ) be a representation of g in a finite dimensional real vector space. Let CV = ( End(V )⊗S(g) )g be the algebra of End(V )-valued invariant differential operators with constant coefficients on g. Let U be an open subset of g. We consider the problem of determining the space of generalized functions φ on U with values in V which a...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 2020
ISSN: 0019-2082
DOI: 10.1215/00192082-8720482