Zobrazeno 1 - 7
of 7
pro vyhledávání: '"17B10, 20G42"'
Autor:
Liu, Xingpeng
In this note, our goal is to construct and study the multiplicity-free weight modules of quantum affine algebras. For this, we introduce the notion of shiftability condition with respect to a symmetrizable generalized Cartan matrix, and investigate i
Externí odkaz:
http://arxiv.org/abs/2302.13686
Autor:
Naoi, Katsuyuki
Publikováno v:
International Mathematics Research Notices 2017 (2017), issue 18, 5667-5709
We study the classical limit of a tensor product of Kirillov-Reshetikhin modules over a quantum loop algebra, and show that it is realized from the classical limits of the tensor factors using the notion of fusion products. In the process of the proo
Externí odkaz:
http://arxiv.org/abs/1604.02577
Autor:
Morrison, Scott
Publikováno v:
Pacific Journal of Mathematics 249-1 (2011), 189--198
Let V be the 7-dimensional irreducible representation of the quantum group U_q(g_2). For each n, there is a map from the braid group B_n to the endomorphism algebra of the n-th tensor power of V, given by R-matrices. We can extend this linearly to a
Externí odkaz:
http://arxiv.org/abs/0907.0256
Autor:
Jakelic, Dijana, Moura, Adriano
Publikováno v:
Contemp. Math. 483 (2009), 147-159
Given a hyper loop algebra over a non-algebraically closed field, we address multiplicity problems in the underlying abelian tensor category of finite-dimensional representations. Namely, we give formulas for the l-characters of the simple objects, t
Externí odkaz:
http://arxiv.org/abs/0802.3413
Autor:
Jakelic, Dijana, Moura, Adriano
Publikováno v:
Algebras and Representation Theory 13 (2010), no. 3, 271-301
We study finite-dimensional representations of hyper loop algebras over non-algebraically closed fields. The main results concern the classification of the irreducible representations, the construction of the Weyl modules, base change, tensor product
Externí odkaz:
http://arxiv.org/abs/0711.0795
Autor:
Scott Morrison
Publikováno v:
Morrison, Scott. (2011). The braid group surjects onto G_2 tensor space. Pacific Journal of Mathematics, 249(1), 189-198. UC Berkeley: Retrieved from: http://www.escholarship.org/uc/item/44g7x15b
Let V be the 7-dimensional irreducible representation of the quantum group U_q(g_2). For each n, there is a map from the braid group B_n to the endomorphism algebra of the n-th tensor power of V, given by R-matrices. We can extend this linearly to a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2b687f17f69398254928374a51ba3dfd
Autor:
Dijana Jakelić, Adriano Moura
Given a hyper loop algebra over a non-algebraically closed field, we address multiplicity problems in the underlying abelian tensor category of finite-dimensional representations. Namely, we give formulas for the l-characters of the simple objects, t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e57cad147773556d372ad4f4e6d19188
http://arxiv.org/abs/0802.3413
http://arxiv.org/abs/0802.3413