A NEW APPROACH TO THE REPRESENTATION THEORY OF THE SYMMETRIC GROUPS, IV. Z(2)-GRADED GROUPS AND ALGEBRAS; PROJECTIVE REPRESENTATIONS OF THE GROUP S-n

Vershik AM; Sergeev AN

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A NEW APPROACH TO THE REPRESENTATION THEORY OF THE SYMMETRIC GROUPS, IV. Z(2)-GRADED GROUPS AND ALGEBRAS; PROJECTIVE REPRESENTATIONS OF THE GROUP S-n

机译：对称群表示理论的一种新方法，IV。 Z（2）级组和代数; S-n组的投射表示

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We start with definitions of the general notions of the theory of Z(2)-graded algebras. Then we consider theory of inductive families of Z(2)-graded semisimple finite-dimensional algebras and its representations in the spirit of approach of the paper [ ], [ ] to representation theory of symmetric groups. The main example is the theory of the projective representations of symmetric groups.

机译：我们从Z（2）级代数理论的一般概念的定义开始。然后，我们按照论文[]，[]对对称群表示理论的研究精神，考虑Z（2）级半简单有限维代数的归纳族理论及其表示。主要的例子是对称群的投影表示理论。

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《Moscow mathematical journal》 |2008年第4期|共30页
作者
Vershik AM; Sergeev AN;
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正文语种 eng
中图分类数学;
关键词
Chains of Z(2)-graded algebras; Gelfand-Tsetlin superalgebras; Young formulas; CONSTRUCTION;

机译：Z（2）级代数链;Gelfand-Tsetlin超代数;杨氏公式;构造;

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1. A NEW APPROACH TO THE REPRESENTATION THEORY OF THE SYMMETRIC GROUPS, IV. Z(2)-GRADED GROUPS AND ALGEBRAS; PROJECTIVE REPRESENTATIONS OF THE GROUP S-n [J] . Vershik AM, Sergeev AN Moscow mathematical journal . 2008,第4期

机译：对称群表示理论的一种新方法，IV。 Z（2）级组和代数; S-n组的投射表示
2. Representations of Some Hopf Algebras Associated to the Symmetric Group S-n [J] . Jedwab A, Montgomery S Algebras and representation theory . 2009,第1期

机译：与对称群S-n相关的某些Hopf代数的表示
3. A New Approach to the Representation Theory of the Symmetric Groups, III: Induced Representations and the Frobenius–Young Correspondence [J] . A. Vershik Moscow mathematical journal . 2006,第3期

机译：对称群表示理论的一种新方法，III：归纳表示与弗罗宾纽斯·杨对应
4. An algebraic approach to Kauppi's concept theory II: functional representation of concept operations and concept associations [C] . Marko Junkkari, Marko Niinimaki Technology in Education International Conference and Exposition . 2000

机译：Kauppi概念理论II的代数方法II：概念运作与概念关联的功能表示
5. Graded representation theory of Hecke algebras. [D] . Nash, David A. 2010

机译：Hecke代数的分级表示理论。
6. From the representation theory of vertex operator algebras to modular tensor categories in conformal field theory [O] . James Lepowsky 2005

机译：从顶点算子代数的表示理论到共形场论中的模量张量类别
7. Cycle Indexes, Symmetric Functions and Exponential Formulas (1)(Combinatorial Theory and Related Topics : Mutual Relation among Commutative Algebra,Algebraic Geometry,Representation Theory of Lie Algebras and Partially Ordered Sets) [O] . 成嶋弘 1988

机译：循环指数，对称函数和指数公式（1）（组合理论和相关主题：交换代数，代数几何，李代数和偏序集的表示理论之间的相互关系）

A NEW APPROACH TO THE REPRESENTATION THEORY OF THE SYMMETRIC GROUPS, IV. Z(2)-GRADED GROUPS AND ALGEBRAS; PROJECTIVE REPRESENTATIONS OF THE GROUP S-n

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