Zobrazeno 1 - 10
of 607
pro vyhledávání: '"PBW bases"'
Autor:
Hu, Naihong, Zhong, Xin
We consider the positive parts $U_q^{+}$ of the quantum affine superalgebra $U_q(C(2)^{(2)})$ and the quantum admissible affine algebra $\mathcal{U}_q(\widehat{\mathfrak{s l}}_2)$ newly defined in \cite{HZ}, which both have presentations with two gen
Externí odkaz:
http://arxiv.org/abs/2412.03048
We establish PBW type bases for $\imath$quantum groups of arbitrary finite type, using the relative braid group symmetries. Explicit formulas for root vectors are provided for $\imath$quantum groups of each rank 1 type. We show that our PBW type base
Externí odkaz:
http://arxiv.org/abs/2407.13127
Autor:
Ruan, Chenwei
This paper is about the positive part $U_q^+$ of the $q$-deformed enveloping algebra $U_q(\widehat{\mathfrak{sl}}_2)$. The literature contains at least three PBW bases for $U_q^+$, called the Damiani, the Beck, and the alternating PBW bases. These PB
Externí odkaz:
http://arxiv.org/abs/2305.11152
Autor:
Salazar, Diego
Publikováno v:
Journal of Algebra Volume 639, 1 February 2024, Pages 398-421
To every $h + \mathbb{N}$-graded module $M$ over an $\mathbb{N}$-graded conformal vertex algebra $V$, we associate an increasing filtration $(G^pM)_{p \in \mathbb{Z}}$ which is compatible with the filtrations introduced by Haisheng Li. The associated
Externí odkaz:
http://arxiv.org/abs/2306.07920
Let $\mathbb{K}$ be a field. We study the free bialgebra $\mathcal{T}$ generated by the coalgebra $C=\mathbb{K} g \oplus \mathbb{K} h$ and its quotient bialgebras (or Hopf algebras) over $\mathbb{K}$. We show that the free noncommutative Fa\`a di Bru
Externí odkaz:
http://arxiv.org/abs/2304.07755
Autor:
Wang, Weiqiang
We construct a basis for a modified quantum group of finite type, extending the PBW bases of positive and negative halves of a quantum group. Generalizing Lusztig's classic results on PBW bases, we show that this basis is orthogonal with respect to i
Externí odkaz:
http://arxiv.org/abs/2109.00139
Autor:
Yoneyama, Akihito
In this paper, we study transition matrices of PBW bases of the nilpotent subalgebra of quantum superalgebras associated with all possible Dynkin diagrams of type A and B in the case of rank 2 and 3, and examine relationships with three-dimensional (
Externí odkaz:
http://arxiv.org/abs/2012.13385
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