Representations of a central extension of the simple Lie superalgebra \(\mathfrak p(3)\)

Balagovic, M., Daugherty, Z., Entova-Aizenbud, I., Halacheva, I., Hennig, J., Im, M.S., Letzter, G., Norton, E., Serganova, V., Stroppel, C.: Translation functors and decomposition numbers for the periplectic Lie superalgebra \(\mathfrak{p}(n)\). MRL (to appear). arXiv:1610.08470

Brundan, J.: Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebra \(gl(m|n)\). J. Am. Math. Soc. 16, 185–231 (2003)CrossRefzbMATHGoogle Scholar

Brundan, J.: Kazhdan–Lusztig polynomials and character formulae for the Lie superalgebra \(q(n)\). Adv. Math. 182, 28–77 (2004)MathSciNetCrossRefzbMATHGoogle Scholar

Brundan, J., Stroppel, C.: Highest weight categories arising from Khovanov’s diagram algebra IV: the general linear supergroup. J. Eur. Math. Soc. (JEMS) 14, 373–419 (2012)MathSciNetCrossRefzbMATHGoogle Scholar

Chen, C.-W.: Finite-dimensional representations of periplectic Lie superalgebras. J. Algebra 443, 99–125 (2015)MathSciNetCrossRefzbMATHGoogle Scholar

Coulembier, K.: The periplectic Brauer algebra. arXiv:1609.06760

Matsumoto, T., Molev, A.: Representations of centrally extended Lie superalgebra \(\mathfrak{psl}(2|2)\). J. Math. Phys. 55, 091704 (2014)MathSciNetCrossRefzbMATHGoogle Scholar

Kac, V.G.: Lie superalgebras. Adv. Math. 26, 8–96 (1977)CrossRefzbMATHGoogle Scholar

Kac, V.G.: Representations of classical Lie superalgebras. Differential geometrical methods in mathematical physics, II. Proceedings of Conference, University of Bonn, Bonn, 1977, Lecture Notes in Mathematics, vol. 676, pp. 597–626. Springer, Berlin (1978)Google Scholar

Penkov, I., Serganova, V.: Characters of irreducible G-modules and cohomology of G/P for the Lie supergroup \(G=Q(N)\). Algebraic geometry, 7. J. Math. Sci. (New York) 84, 1382–1412 (1997)MathSciNetCrossRefzbMATHGoogle Scholar

Serganova, V.: Kazhdan-Lusztig polynomials and character formula for the Lie superalgebra \(gl(m|n)\). Selecta Math. (N.S.) 2, 607–651 (1996)MathSciNetCrossRefzbMATHGoogle Scholar

Shapovalov, A.: Invariant differential operators and irreducible representations of finite-dimensional Hamiltonian and Poisson Lie superalgebras. Serdica Math. J. 7, 337–342 (1981). (in Russian)MathSciNetzbMATHGoogle Scholar