The free generalized vertex algebras and generalized principal subspaces
The free generalized vertex algebras and generalized principal subspaces
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自由广义顶点代数和广义主子空间
DOI：
10.1016/j.jalgebra.2015.07.014
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发表时间：
2015
影响因子：
0.9
通讯作者：
Kazuya Kawasetsu
中科院分区：
文献类型：
--
作者：
Takehiko Kanazawa;Naoki Minamino;Atsuko Era;Kimitsune Ishizaki;Ryuichi Nishihama;Takayuki Kohchi;Akihiko Nakano;and Takashi Ueda;Kazuya Kawasetsu
引入了广义顶点代数的概念。它等价于与不一定是积分的格相关的广义主子空间的概念。给出了自由广义顶点代数的组合基和特征。作为应用，用广义主子空间刻画了主子空间的交换子。
The notion offreegeneralized vertex algebras is introduced. It is equivalent to the notion ofgeneralized principal subspacesassociated with lattices which are not necessarily integral. Combinatorial bases and the characters of the free generalized vertex algebras are given. As an application, the commutants of principal subspaces are described by using generalized principal subspaces.