Found 30 Documents (Results 1–30)
Jacobi-Trudi type formula for a class of irreducible representations of \(\mathfrak{gl}(m\mid n)\). (English) Zbl 1492.17007
Reviewer: Sigiswald Barbier (Gent)
The second fundamental theorem of invariant theory for the orthosymplectic supergroup. (English) Zbl 1478.16034
Jacobi-Trudi type formula for character of irreducible representations of \(\mathfrak{gl}(m|1)\). (English) Zbl 1473.17021
Reviewer: Shuangjian Guo (Guiyang)
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
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
Generalization of some integrals over unitary matrices by character expansion of groups. (English) Zbl 1152.81446
Character expansion method for supergroups and extended superversions of the Leutwyler-Smilga and Berezin-Karpelevich integrals. (English) Zbl 1152.81526
Counting chiral primaries in \(\mathcal N=1\), \(d=4\) superconformal field theories. (English) Zbl 1178.81239
Supersymmetric spin networks. (English) Zbl 1059.83012
Lie superalgebras and the multiplet structure of the genetic code. I: Codon representations. (English) Zbl 1055.92035
Tensor product representations for orthosymplectic Lie superalgebras. (English) Zbl 0932.17008
Reviewer: J.Van der Jeugt (Gent)
Orthogonality relations and supercharacter formulas of U\((m| n)\) representations. (English) Zbl 0910.17002
Reviewer: J.Van der Jeugt (Gent)
Combinatorics and total positivity. (English) Zbl 0851.05095
Reviewer: V.A.Ufnarovski (Lund)
Super twistor realization of unitary super representations of U(\(p,q| N)\). (English) Zbl 0744.32016
Character formulas for some classes of atypical \(gl(m+n\epsilon)\)- and \({\mathfrak p}(m)\)-modules. (English) Zbl 0657.17016
Reviewer: J.Van der Jeugt
Generalized quasispin for supergroups. (English) Zbl 0621.17002
Reviewer: M.Baake
Finite-dimensional representations of the Lie superalgebra sl(1,3) in a Gel’fand-Zetlin basis. II: Nontypical representations. (English) Zbl 0614.17003
Reviewer: M.Baake
Unimodality and Lie superalgebras. (English) Zbl 0614.17004
Reviewer: D.Kleitman
Irreducible representations of the exceptional Lie superalgebras \(D(2,1;\alpha)\). (English) Zbl 0604.17001
Mixed supertableaux of the superunitary groups. II. SU(n\(| m)\). (English) Zbl 0568.22012
MSC:
22E70
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)
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
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