A pr 2 00 8 Rosso - Yamane Theorem on PBW basis of U q ( A N ) ∗
نویسندگان
چکیده
Let Uq(AN) be the Drinfeld-Jimbo quantum group of type AN . In this paper, by using Gröbner-Shirshov bases, we give a simple (but not short) proof of the RossoYamane Theorem on PBW basis of Uq(AN).
منابع مشابه
Representations of Tame Quivers and Affine Canonical Bases
An integral PBW-basis of type A (1) 1 has been constructed by Zhang [Z] and Chen [C] using the Auslander-Reiten quiver of the Kronecker quiver. We associate a geometric order to elements in this basis following an idea of Lusztig [L1] in the case of finite type. This leads to an algebraic realization of a bar-invariant basis of Uq(ŝl2). For any affine symmetric type, we obtain an integral PBW-b...
متن کاملar X iv : m at h / 01 04 17 8 v 1 [ m at h . N T ] 1 8 A pr 2 00 1 Arithmetic theory of q - difference equations
Part II. p-adic methods §3. Considerations on the differential case §4. Introduction to p-adic q-difference modules 4.1. p-adic estimates of q-binomials 4.2. The Gauss norm and the invariant χv(M) 4.3. q-analogue of the Dwork-Frobenius theorem §5. p-adic criteria for unipotent reduction 5.1. q-difference modules having unipotent reduction modulo ̟v 5.2. q-difference modules having unipotent redu...
متن کاملPreconditioning Legendre Spectral Collocation Approximations to Elliptic Problems
This work deals with the H1 condition numbers and the distribution of the ~ N;Msingular values of the preconditioned operators f~ 1 N;M WN;M ÂN;Mg. ÂN;M is the matrix representation of the Legendre Spectral Collocation discretization of the elliptic operator A de ned by Au := u + a1ux + a2uy + a0u in (the unit square) with boundary conditions: u = 0 on 0; @u @ A = u on 1. ~ N;M is the sti ness ...
متن کاملRTES-03 Interfaces.indd
[ B ur ns 20 07 ] B u rn s, A & W el lin gs , A C o n cu rr en t a n d R ea l-T im e Pr o gr am m in g in A d a, e d it io n C am b ri d ge U n iv er si ty P re ss 2 00 7 [ M o to ro la 19 96 ] M o to ro la Ti m e Pr o ce ss in g U n it R ef er en ce M an u al 1 99 6 p p . 1 -1 42 [ M o to ro la 20 00 ] M o to ro la M PC 56 5 & M PC 56 6 2 00 0 p p . 1 -1 31 2 [ P ea co ck 19 97 ] Pe ac o ck , ...
متن کاملConvex Bases of Pbw Type for Quantum Affine Algebras
This note has two purposes. First we establish that the map defined in [L, §40.2.5 (a)] is an isomorphism for certain admissible sequences. Second we show the map gives rise to a convex basis of Poincaré–Birkhoff–Witt (PBW) type for U, an affine untwisted quantized enveloping algebra of Drinfeld and Jimbo. The computations in this paper are made possible by extending the usual braid group actio...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008