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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2021.12
- 수록면
- 679 - 710 (32page)
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We study the tensor product algebra Pk(x1) ? Pk(x2) ? · · · ? Pk(xm), where Pk(x) is the partition algebra defined by Jones and Martin. We discuss the centralizer of this algebra and corresponding Schur?Weyl dualities and also index the inequivalent irreducible representations of the algebra Pk(x1) ? Pk(x2) ? · · · ? Pk(xm) and compute their dimensions in the semisimple case. In addition, we describe the Bratteli diagrams and branching rules.
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참고문헌 (14)
참고문헌 신청
M. Bloss / 2002 / Partition algebras and permutation representations of wreath products
R. Goodman / 1998 / Representations and invariants of classical groups / Cambridge University Press
T. Halverson / 2001 / Characters of the partition algebras / J. Algebra 238:502~533
T. Halverson / 2005 / RSK Insertion for set partitions and diagram algebras / The Electronic Journal of Combinatorics 11(2):R24
V. F. R Jones / 1993 / The Potts model and the symmetric group / Subfactors: Proceedings of the Taniguchi Symposium on Operater Algebra :259~267
R. Goodman / 1998 / Representations and invariants of classical groups / Cambridge University Press
T. Halverson / 2001 / Characters of the partition algebras / J. Algebra 238:502~533
T. Halverson / 2005 / RSK Insertion for set partitions and diagram algebras / The Electronic Journal of Combinatorics 11(2):R24
V. F. R Jones / 1993 / The Potts model and the symmetric group / Subfactors: Proceedings of the Taniguchi Symposium on Operater Algebra :259~267
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