Bình, Nguyên Luong Thái Jacobi-Trudi type formula for a class of irreducible representations of \(\mathfrak{gl}(m\mid n)\). (English) Zbl 1492.17007 J. Algebra Appl. 21, No. 1, Article ID 2250015, 30 p. (2022). Reviewer: Sigiswald Barbier (Gent) MSC: 17B10 17B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lehrer, G. I.; Zhang, R. B. The second fundamental theorem of invariant theory for the orthosymplectic supergroup. (English) Zbl 1478.16034 Nagoya Math. J. 242, 52-76 (2021). MSC: 16W22 15A72 17B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bình, Nguyên Luong Thái; Dung, Nguyên Thi Phuong; Hai, Phùng Hô Jacobi-Trudi type formula for character of irreducible representations of \(\mathfrak{gl}(m|1)\). (English) Zbl 1473.17021 Acta Math. Vietnam. 44, No. 3, 603-615 (2019). Reviewer: Shuangjian Guo (Guiyang) MSC: 17B10 17B15 17B20 17B22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Günaydin, Murat; Volin, Dmytro The complete unitary dual of non-compact Lie superalgebra \(\mathfrak{su}(p,q|m)\) via the generalised oscillator formalism, and non-compact Young diagrams. (English) Zbl 1464.17013 Commun. Math. Phys. 367, No. 3, 873-939 (2019). MSC: 17B10 17B81 22E65 22E70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Stoilova, N. I.; Thierry-Mieg, J.; van der Jeugt, J. Extension of the \(\mathfrak{osp}(m|n)\sim \mathfrak{so}(m-n)\) correspondence to the infinite-dimensional chiral spinors and self dual tensors. (English) Zbl 1364.81278 J. Phys. A, Math. Theor. 50, No. 15, Article ID 155201, 21 p. (2017). MSC: 81V80 81T10 83E15 17B81 81Q70 17A70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ling, Yi Supersymmetric spin networks. (English) Zbl 1059.83012 J. Math. Phys. 43, No. 1, 154-169 (2002). MSC: 83C27 17B81 81R05 81T13 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Forger, Michael; Sachse, Sebastian Lie superalgebras and the multiplet structure of the genetic code. I: Codon representations. (English) Zbl 1055.92035 J. Math. Phys. 41, No. 8, 5407-5422 (2000). MSC: 92D10 17B99 92D20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Benkart, Georgia; Lee Shader, Chanyoung; Ram, Arun Tensor product representations for orthosymplectic Lie superalgebras. (English) Zbl 0932.17008 J. Pure Appl. Algebra 130, No. 1, 1-48 (1998). Reviewer: J.Van der Jeugt (Gent) MSC: 17B10 17B70 17A70 05E10 17B75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alfaro, Jorge; Medina, Ricardo; Urrutia, Luis F. Orthogonality relations and supercharacter formulas of U\((m| n)\) representations. (English) Zbl 0910.17002 J. Math. Phys. 38, No. 10, 5319-5349 (1997). Reviewer: J.Van der Jeugt (Gent) MSC: 17B10 81R05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Backofen, Olaf J. Composite link polynomials from super Chern-Simons theory. (English) Zbl 0861.57007 J. Geom. Phys. 20, No. 1, 19-30 (1996). MSC: 57M25 17B70 57N10 82B23 × Cite Format Result Cite Review PDF Full Text: DOI
Penkov, Ivan; Serganova, Vera Character formulas for some classes of atypical \(gl(m+n\epsilon)\)- and \({\mathfrak p}(m)\)-modules. (English) Zbl 0657.17016 Lett. Math. Phys. 16, No. 3, 251-261 (1988). Reviewer: J.Van der Jeugt MSC: 17B70 17B10 × Cite Format Result Cite Review PDF Full Text: DOI
Jarvis, P. D.; Yang, Mei; Wybourne, B. G. Generalized quasispin for supergroups. (English) Zbl 0621.17002 J. Math. Phys. 28, 1192-1197 (1987). Reviewer: M.Baake MSC: 17A70 17B70 22E70 17B10 81V35 × Cite Format Result Cite Review PDF Full Text: DOI
Palev, Tchavdar D. Finite-dimensional representations of the Lie superalgebra sl(1,3) in a Gel’fand-Zetlin basis. II: Nontypical representations. (English) Zbl 0614.17003 J. Math. Phys. 28, 272-291 (1987). Reviewer: M.Baake MSC: 17A70 17B10 × Cite Format Result Cite Review PDF Full Text: DOI
Stanley, Richard P. Unimodality and Lie superalgebras. (English) Zbl 0614.17004 Stud. Appl. Math. 72, 263-281 (1985). Reviewer: D.Kleitman MSC: 17A70 17B10 06A06 05A99 × Cite Format Result Cite Review PDF Full Text: DOI Backlinks: MO
Van der Jeugt, Joris Irreducible representations of the exceptional Lie superalgebras \(D(2,1;\alpha)\). (English) Zbl 0604.17001 J. Math. Phys. 26, 913-924 (1985). MSC: 17B25 17B10 81R10 22E70 × Cite Format Result Cite Review PDF Full Text: DOI
Leĭtes, D. A. Lie superalgebras. (English. Russian original) Zbl 0567.17003 J. Sov. Math. 30, 2481-2512 (1985); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat. 25, 3-49 (1984). Reviewer: Aleksandr K. Guts (Omsk) MSC: 17B10 17-02 17B67 × Cite Format Result Cite Review PDF Full Text: DOI
Sergeev, A. N. Representations of the Lie superalgebras \({\mathfrak gl}(n,m)\) and Q(n) on the space of tensors. (English. Russian original) Zbl 0542.17002 Funct. Anal. Appl. 18, 70-72 (1984); translation from Funkts. Anal. Prilozh. 18, No. 1, 80-81 (1984). Reviewer: W.Guz MSC: 17A70 17B10 × Cite Format Result Cite Review PDF Full Text: DOI
Jarvis, P. D.; Murray, M. K. Casimir invariants, characteristic identities, and tensor operators for ”strange” superalgebras. (English) Zbl 0517.17003 J. Math. Phys. 24, 1705-1710 (1983). MSC: 17A70 17B70 × Cite Format Result Cite Review PDF Full Text: DOI