H(2n, m)-invariant differential operators and irreducible osp(2, 2n)-representations

G. S. Shmelev

doi:10.1007/bf01076732

journal article Oct 01, 1983

H(2n, m)-invariant differential operators and irreducible osp(2, 2n)-representations

G. S. Shmelev

Functional Analysis and Its Applications Vol. 17 No. 4 pp. 323-325 · Springer Science and Business Media LLC

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References

7

[1]

D. A. Leites, "Irreducible representations of Lie superalgebras of vector fields and invariant differential operators," Funkts. Anal. Prilozhen.,16, No. 1, 76–77 (1982).

[2]

G. S. Shmelev, "Invariant operators on a symplectic supermanifold," Mat. Sb.,112, No. 4, 528–539 (1983).

[3]

G. S. Shmelev, "Irreducible representations of infinite-dimensional Hamiltonian and Poisson Lie superalgebras and invariant differential operators," Serdica,8, No. 4, 408–417 (1982).

[4]

A. V. Shapovalov, "Finite-dimensional irreducible representations of Hamiltonian Lie superalgebras," Mat. Sb.,107, No. 2, 258–274 (1978).

[5]

A. N. Rudakov, "Irreducible representations of infinite-dimensional Lie algebras of types S and H," Izv. Akad. Nauk SSSR, Ser. Mat.,39, No. 3, 496–511 (1975).

[6]

G. S. Shmelev, "Irreducible representations of Poisson Lie superalgebras and invariant differential operators," Funkts. Anal. Prilozhen.,17, No. 1, 91–92 (1983).

[7]

D. A. Leites, "Formulas for the characters of irreducible finite-dimensional representations of simple Lie superalgebras," Funkts. Anal. Prilozhen.,14, No. 2, 35–38 (1980).

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Published: Oct 01, 1983
Vol/Issue: 17(4)
Pages: 323-325
License: View

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G. S. Shmelev

Cite This Article

G. S. Shmelev (1983). H(2n, m)-invariant differential operators and irreducible osp(2, 2n)-representations. Functional Analysis and Its Applications, 17(4), 323-325. https://doi.org/10.1007/bf01076732

H(2n, m)-invariant differential operators and irreducible osp(2, 2n)-representations

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