Matrix units for centralizer algebras
โ Scribed by Arun Ram; Hans Wenzl
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 951 KB
- Volume
- 145
- Category
- Article
- ISSN
- 0021-8693
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๐ SIMILAR VOLUMES
In 1937, Richard Brauer identified the centralizer algebra of transformations ลฝ . commuting with the action of the complex special orthogonal groups SO 2 n . ลฝ . ลฝ mk . ## 2 n Corresponding to the centralizer algebra
In this paper we study central polynomials for the matrix algebra M 2n K \* with symplectic involution \* . Their form is inspired by an apporach of Formanek and Bergman for investigating matrix identities by means of commutative algebra. We continue the investigations started earlier (1999,
In our recent papers the centralizer construction was applied to the series of ลฝ . classical Lie algebras to produce the quantum algebras called twisted Yangians. ลฝ . Here we extend this construction to the series of the symmetric groups S n . We ลฝ . study the ''stable'' properties of the centraliz