Zobrazeno 1 - 10
of 10 636
pro vyhledávání: '"Weyl groups"'
Autor:
Wu, Weicai, Zhou, Panyue
Publikováno v:
INT.J. ALGEBR COMPUT,32(7):1403-1409,2022
In this article, we show that conjugacy classes of classical Weyl groups $W(B_{n})$ and $W(D_{n})$ are of $\textit{type D}$. Consequently, we obtain that Nichols algebras of irreducible Yetter-Drinfeld modules over the classical Weyl groups $\mathbb
Externí odkaz:
http://arxiv.org/abs/2410.07743
Autor:
Komura, Fuyuta
In the theory of C*-algebras, the Weyl groups were defined for the Cuntz algebras and graph algebras by Cuntz and Conti et al. respectively. In this paper, we introduce and investigate the Weyl groups of groupoid C*-algebras as a natural generalizati
Externí odkaz:
http://arxiv.org/abs/2409.04906
Autor:
ARSLAN, Hasan1 hasanarslan@erciyes.edu.tr, ALTOUM, Alnour2 alnouraltoum178@gmail.com, ZAAROUR, Mariam2 mariamzaarour94@gmail.com
Publikováno v:
Turkish Journal of Mathematics. 2024, Vol. 48 Issue 3, p377-390. 15p.
Autor:
Fring, Andreas
Many integrable theories can be formulated universally in terms of Lie algebraic root systems. Well-studied are conformally invariant scalar field theories of Toda type and their massive versions, which can be expressed in terms of simple roots of fi
Externí odkaz:
http://arxiv.org/abs/2409.19161
Autor:
Milićević, Elizabeth
The reflections in a Coxeter group are defined as conjugates of a single generator, and thus admit palindromic expressions as products of generators. Our main result gives closed formulas providing a palindromic reduced expression for each reflection
Externí odkaz:
http://arxiv.org/abs/2408.09009
Autor:
Ganapathy, Radhika
Let $G$ be a connected, reductive group over a non-archimedean local field $F$. Let $\breve F$ be the completion of the maximal unramified extension of $F$ contained in a separable closure $F_s$. In this article, we construct a Tits group of the affi
Externí odkaz:
http://arxiv.org/abs/2406.08976
Autor:
Stekolshchik, Rafael1 (AUTHOR) r.stekol@gmail.com
Publikováno v:
Fixed Point Theory & Algorithms for Sciences & Engineering. 11/20/2023 Suppl, Vol. 2023, p1-45. 45p.
Autor:
Bobrova, Irina
A non-abelian generalisation of a birational representation of affine Weyl groups and their application to the discrete dynamical systems is presented. By using this generalisation, non-commutative analogs for the discrete systems of $A_n^{(1)}$, $n
Externí odkaz:
http://arxiv.org/abs/2403.18463
Autor:
Lusztig, G.
Let $c$ be the family of irreducible representations of a Weyl group $W$ corresponding to a two-sided cell of $W$. We define a subset $A_c$ of $c$ which contains the special representation of $W$ in $c$ and is in canonical bijection with the set of c
Externí odkaz:
http://arxiv.org/abs/2405.04410
Autor:
Lusztig, G.
We study the new basis of the (complexified) Grothendieck group of unipotent representations of a split reductive group over a finite field. For exceptional types we use a definition of the new basis which differs from the earlier one.
Comment:
Comment:
Externí odkaz:
http://arxiv.org/abs/2403.17746