PARASTATISTICS ALGEBRA, YOUNG TABLEAUX AND THE SUPER PLACTIC MONOID
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Publication:3620090
DOI10.1142/S0219887808003351zbMath1165.81029arXiv0810.0844MaRDI QIDQ3620090
Publication date: 14 April 2009
Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0810.0844
Many-body theory; quantum Hall effect (81V70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Operator algebra methods applied to problems in quantum theory (81R15)
Related Items (7)
Quantum Plactic and Pseudo-Plactic Algebras ⋮ Notes on Schubert, Grothendieck and key polynomials ⋮ Super jeu de taquin and combinatorics of super tableaux of type A ⋮ Plactic monoids: a braided approach ⋮ Representations of the Lie superalgebra \(\mathfrak{osp}(1|2n)\) with polynomial bases ⋮ Cohomology rings of the plactic monoid algebra via a Gröbner–Shirshov basis ⋮ Parafermionic Algebras, Their Modules and Cohomologies
Cites Work
- Schur-Weyl reciprocity between the quantum superalgebra and the Iwahori-Hecke algebra
- A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
- A \(q\)-deformation of the parastatistics and an alternative to the Chevalley description of \(U_q[\text{osp}(2n+1/2m)\)]
- \(d^N=0\): Generalized homology
- Tensor fields of mixed Young symmetry type and \(N\)-complexes
- Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras
- Homogeneous algebras, statistics and combinatorics
- Generalized cohomology for irreducible tensor fields of mixed Young symmetry type
- The paraboson Fock space and unitary irreducible representations of the Lie superalgebra \({\mathfrak{osp}(1|2n)}\)
- Hopf structure and Green ansatz of deformed parastatistics algebras
- SUPER RSK-ALGORITHMS AND SUPER PLACTIC MONOID
- A Generalized Method of Field Quantization
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