Zobrazeno 31 - 40
of 189
pro vyhledávání: '"Hu, Naihong"'
Autor:
Hu, Naihong, Zhang, Honglian
We put forward the exact version of two-parameter generating functions with $\tau$-invariance, which allows us to give a unified and inherent definition for the Drinfeld realization of two-parameter quantum affine algebras for all the untwisted types
Externí odkaz:
http://arxiv.org/abs/1401.4925
Autor:
Hu, Naihong, Shi, Yuxing
Publikováno v:
J. Geom. Phys. 86 (2014), 422---433
The paper mainly considers the center of two-parameter quantum groups $U_{r,s}(\mathfrak{so}_{2n+1})$ via an analogue of the Harish-Chandra homomorphism. In the case when $n$ is odd, the Harish-Chandra homomorphism is not injective in general. When $
Externí odkaz:
http://arxiv.org/abs/1401.0811
It is proved that the entire multi-parameter (small-)quantum groups of symmetrizable Kac-Moody algebras can be realized as certain subquotients of the cotensor Hopf algebras. This is an axiomatic construction. Hopf 2-cocycle deformations variation fo
Externí odkaz:
http://arxiv.org/abs/1307.1381
Autor:
Li, Yunnan, Hu, Naihong
Publikováno v:
Journal of Algebra, 410 (2014), p. 1--35
In the paper, the representation rings (or the Green rings) for a family of Hopf algebras of tame type, the 2-rank Taft algebra (at $q=-1$) and its two relatives twisted by 2-cocycles are explicitly described via a representation theoretic analysis.
Externí odkaz:
http://arxiv.org/abs/1305.1444
Autor:
Gu, Haixia, Hu, Naihong
Publikováno v:
J. Algebra 435 (2015), 1---32
The paper explores the indecomposable submodule structures of quantum divided power algebra $\mathcal{A}_q(n)$ defined in \cite{HU} and its truncated objects $\mathcal{A}_q(n, \bold m)$. An "intertwinedly-lifting" method is established to prove the i
Externí odkaz:
http://arxiv.org/abs/1204.0664
Publikováno v:
Contemp. Math. 652 (2015), 173--205. (A special volume dedicated to Prof. H. Strade)
We construct explicit Drinfel'd twists for the generalized Cartan type $H$ Lie algebras in characteristic $0$ and obtain the corresponding quantizations and their integral forms. Via making modular reductions including modulo $p$ reduction and modulo
Externí odkaz:
http://arxiv.org/abs/1202.5730
Autor:
Xia, Limeng, Hu, Naihong
Publikováno v:
Algebras and Representation Theory 14 (1) (2011) 191-199
In this work, we introduce a new concept which is obtained by defining a new compatibility condition between Lie algebras and Lie coalgebras. With this terminology, we describe the interrelation between the Killing form and the adjoint representation
Externí odkaz:
http://arxiv.org/abs/1008.2505
Autor:
Zhang, Jiao, Hu, Naihong
Publikováno v:
J. Reine und Angew. Math. Heft 663 (2012), 177-207
For any strong smash product algebra $A\#_{_R}B$ of two algebras $A$ and $B$ with a bijective morphism $R$ mapping from $B\ot A$ to $A\ot B$, we construct a cylindrical module $A\natural B$ whose diagonal cyclic module $\Delta_{\bullet}(A\natural B)$
Externí odkaz:
http://arxiv.org/abs/1008.2504
Autor:
Hu, Naihong
Publikováno v:
Journal of Algebra 232, 507--540 (2000)
The discussions in the present paper arise from exploring intrinsically the structure nature of the quantum $n$-space. A kind of braided category $\Cal {GB}$ of $\La$-graded $\th$-commutative associative algebras over a field $k$ is established. The
Externí odkaz:
http://arxiv.org/abs/0902.2858
Autor:
Hu, Naihong, Wang, Xiuling
Publikováno v:
J. Pure and Applied Algebra 215 (6) (2011), 1205-1222
The generalized Cartan type $\mathbf{S}$ Lie algebras in char 0 with the Lie bialgebra structures involved are quantized, where the Drinfel'd twist we used is proved to be a variation of the Jordanian twist. As the passage from char 0 to char p, thei
Externí odkaz:
http://arxiv.org/abs/0902.2821