Zobrazeno 1 - 10
of 197
pro vyhledávání: '"Hu, Naihong"'
We establish the realization of the Reshetikhin-Semenov-Tian-Shansky (RS) superalgebra for two parameter quantum affine superalgebra $U_{p, q}(\widehat{\mathfrak{gl}(m|n))}$. We find a simple coproduct for the Drinfeld generators and obtain a Hopf su
Externí odkaz:
http://arxiv.org/abs/2407.00406
We establish an explicit correspondence between the Drinfeld current algebra presentation for the two-parameter quantum affine algebra $U_{r, s}(\mathrm{C}_n^{(1)})$ and the $R$-matrix realization \'a la Faddeev, Reshetikhin and Takhtajan.
Externí odkaz:
http://arxiv.org/abs/2405.06597
In this paper, we firstly provide the correspondence between the FRT formalism and the Drindeld-Jimbo presentation for $U_{r, s}(\mathfrak{so}_{2n+1})$, using the theory of finite dimensional weight modules. In the affine case $U_{r, s}(\widehat{\mat
Externí odkaz:
http://arxiv.org/abs/2405.06587
Publikováno v:
Pacific J. Math. (2024)
We obtain the basic $R$-matrix of the two-parameter Quantum group $U=U_{r,s}\mathcal(\frak{so}_{2n})$ via its weight representation theory and then determine its $R$-matrix with spectral parameters for the two-parameter quantum affine algebra $U=U_{r
Externí odkaz:
http://arxiv.org/abs/2405.06581
Autor:
Hu, Naihong, Wang, Hengyi
The centre of two-parameter quantum groups $U_{r,s}(\mathfrak{g})$ is determined through the Harish-Chandra homomorphism. Based on the Rosso form and the representation theory of weight modules, we prove that when rank $\mathfrak{g}$ is even, the Har
Externí odkaz:
http://arxiv.org/abs/2402.12793
Autor:
Hu, Naihong, Xu, Xiao
The classification of one-parameter small quantum groups is an interesting open question. The current paper reveals a new phenomenon that there exist abundant exotic (about 5 times the standard) small quantum groups beyond the Lusztig small quantum g
Externí odkaz:
http://arxiv.org/abs/2402.13141
Publikováno v:
Quantum Inf. Process. 22 (2023), 365 (16pp)
By revisiting the mathematical foundation of the uncertainty relation, skew information-based uncertainty sequences are developed for any two quantum channels. A reinforced version of the Cauchy-Schwarz inequality is adopted to improve the uncertaint
Externí odkaz:
http://arxiv.org/abs/2310.06065
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
Publikováno v:
J. Algebra Applications (2024), 2450003 (18 pages)
We study the center of the two-parameter quantum supergroup $U_{r,s}(osp(1,2))$ using the Dickson polynomial. We show that the Scasimir operator is completely determined by the $q$-deformed Chebychev polynomial, generalizing an earlier work of Arnaud
Externí odkaz:
http://arxiv.org/abs/2210.00288
Autor:
Xiong, Rongchuan, Hu, Naihong
Publikováno v:
Bull. Belg. Math. Soc. Simon Stevin 28 (5) (2021), 633---688
We determine and classify all finite-dimensional Hopf algebras over an algebraically closed field of characteristic zero whose Hopf coradicals are isomorphic to dual Radford algebras of dimension $4p$ for a prime $p>5$. In particular, we obtain famil
Externí odkaz:
http://arxiv.org/abs/2209.12518