Zobrazeno 1 - 10
of 78
pro vyhledávání: '"Shaobin Tan"'
Publikováno v:
Representation Theory of the American Mathematical Society. 27:149-176
In this paper, we give an explicit realization of all irreducible modules in Chari’s category O ~ \widetilde {\mathcal O} for the affine Kac-Moody algebra A 1 ( 1 ) A_{1}^{(1)} by using the idea of free fields. We work on a much more general settin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8cb0e4b62bec6d5c3da7e1ac3bf6d448
https://doi.org/10.1090/ert/632
https://doi.org/10.1090/ert/632
Publikováno v:
Journal of Algebra. 590:26-60
To give a unified treatment on the association of Lie algebras and vertex algebras, we study ( G , χ ϕ ) -equivariant ϕ-coordinated quasi modules for vertex algebras, where G is a group with χ ϕ a linear character of G and ϕ is an associate of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6b659c46ede7a8c4c2420f92a36f2d6c
https://doi.org/10.1016/j.jalgebra.2021.10.004
https://doi.org/10.1016/j.jalgebra.2021.10.004
Publikováno v:
Forty Years of Algebraic Groups, Algebraic Geometry, and Representation Theory in China ISBN: 9789811263484
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d2772671c172aaeb11093d1d6a2e9a0b
https://doi.org/10.1142/9789811263491_0009
https://doi.org/10.1142/9789811263491_0009
Publikováno v:
Journal of Algebra. 574:1-37
In this paper, we classify the irreducible integrable modules with finite dimensional weight spaces and non-trivial $\widetilde{\mathfrak g}_c$-action for the nullity $2$ toroidal extended affine Lie algebra $\widetilde{\mathfrak g}$, where $\widetil
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6572c7700442457148889c58178890d0
https://doi.org/10.1016/j.jalgebra.2021.01.022
https://doi.org/10.1016/j.jalgebra.2021.01.022
Publikováno v:
Journal of Algebra. 569:111-142
Let sl N ˆ ( C q ) be the core of extended affine Lie algebra of type A N − 1 coordinated by the rational quantum 2-torus C q . In this paper, we first prove that for any complex number l, the category of restricted sl N ˆ ( C q ) -modules of lev
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5a462a813454e1456e72c11eead10f8a
https://doi.org/10.1016/j.jalgebra.2020.11.010
https://doi.org/10.1016/j.jalgebra.2020.11.010
Publikováno v:
Biodiversity Science. 29:109-117
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::302c690b01b834c9edfbb83582e9a28f
https://doi.org/10.17520/biods.2020215
https://doi.org/10.17520/biods.2020215
Publikováno v:
Science China Mathematics. 64:1181-1200
Let $\fg$ be an affine Kac-Moody algebra, and $\mu$ a diagram automorphism of $\fg$. In this paper, we give an explicit realization for the universal central extension $\wh\fg[\mu]$ of the twisted loop algebra of $\fg$ related to $\mu$, which provide
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c4cdf446dbb94bad3f63f163cb406196
https://doi.org/10.1007/s11425-019-1615-x
https://doi.org/10.1007/s11425-019-1615-x
Publikováno v:
Pacific Journal of Mathematics. 301:243-265
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c84fb2bbe497c6da81d60ef76b0c1122
https://doi.org/10.2140/pjm.2019.301.243
https://doi.org/10.2140/pjm.2019.301.243
Publikováno v:
Journal of Algebra. 533:283-321
In this paper, we study what we call twisted ϕ-coordinated modules for nonlocal vertex algebras including weak quantum vertex algebras and we give a conceptual construction of nonlocal vertex algebras and their twisted ϕ-coordinated modules. As an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b57eec996e025b5c37d30972ab19657c
https://doi.org/10.1016/j.jalgebra.2019.06.005
https://doi.org/10.1016/j.jalgebra.2019.06.005
Publikováno v:
Algebra Colloquium. 26:529-540
The conjugate-linear anti-involutions and unitary irreducible modules of the intermediate series over the twisted Heisenberg–Virasoro algebra are classified, respectively. We prove that any unitary irreducible module of the intermediate series over
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::24c1fcee6600dc2c7e829159e96b5a1f
https://doi.org/10.1142/s1005386719000397
https://doi.org/10.1142/s1005386719000397