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Volumn 52, Issue 2, 2000, Pages 143-153

Remarks on the Schur-Howe-Sergeev Duality

Author keywords

Lie superalgebra q(n); Schur Howe Sergeev duality

Indexed keywords


EID: 0038498609     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1007668930652     Document Type: Article
Times cited : (21)

References (12)
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    • Cheng, S.-J.1
  • 2
    • 0041877863 scopus 로고    scopus 로고
    • Howe duality for lie superalgebras
    • Preprint, to appear
    • Cheng, S.-J. and Wang, W.: Howe duality for Lie superalgebras, Preprint, 1999, to appear in Compositio Math.
    • (1999) Compositio Math.
    • Cheng, S.-J.1    Wang, W.2
  • 3
    • 0011466956 scopus 로고
    • Remarks on classical invariant theory
    • Howe, R.: Remarks on classical invariant theory, Trans. Amer. Math. Soc. 313 (1989), 539-570.
    • (1989) Trans. Amer. Math. Soc. , vol.313 , pp. 539-570
    • Howe, R.1
  • 4
    • 0002640111 scopus 로고
    • Perspectives on invariant theory: Schur duality, multiplicity-free actions and beyond
    • The Schur Lectures, Tel Aviv, 1992
    • Howe, R.: Perspectives on Invariant Theory: Schur Duality, Multiplicity-free Actions and Beyond, The Schur Lectures, 1-182 (1992) Israel Math. Conf. Proc. 8, Tel Aviv, 1992.
    • (1992) Israel Math. Conf. Proc. , vol.8 , pp. 1-182
    • Howe, R.1
  • 5
    • 0002164452 scopus 로고
    • Semisimple superalgebras
    • Some Current Trends in Algebra, Proc. of the Varna Conference 1986, Springer-Verlag, New York
    • Józefiak, T.: Semisimple superalgebras, In: Some Current Trends in Algebra, Proc. of the Varna Conference 1986, Lecture Notes in Math. 1352, Springer-Verlag, New York, 1988, pp. 96-113.
    • (1988) Lecture Notes in Math. , vol.1352 , pp. 96-113
    • Józefiak, T.1
  • 6
    • 0001466842 scopus 로고
    • A class of projective representations of hyperoctahedral groups and Schur Q-functions
    • Banach Center Publ. 26, PWN-Polish Scientific Publishers, Warsaw
    • Józefiak, T.: A class of projective representations of hyperoctahedral groups and Schur Q-functions, In: Topics in Algebra, Banach Center Publ. 26, Part 2, PWN-Polish Scientific Publishers, Warsaw, 1990, pp. 317-326.
    • (1990) Topics in Algebra , Issue.2 PART , pp. 317-326
    • Józefiak, T.1
  • 7
    • 49449126179 scopus 로고
    • Lie superalgebras
    • Kac, V. G.: Lie Superalgebras, Adv. Math. 26 (1977), 8-96.
    • (1977) Adv. Math. , vol.26 , pp. 8-96
    • Kac, V.G.1
  • 9
    • 0041124516 scopus 로고
    • Characters of typical irreducible finite-dimensional q(n)-modules
    • Penkov, I.: Characters of typical irreducible finite-dimensional q(n)-modules, Funct. Anal. Appl. 20 (1986), 30-37.
    • (1986) Funct. Anal. Appl. , vol.20 , pp. 30-37
    • Penkov, I.1
  • 10
    • 0012859351 scopus 로고    scopus 로고
    • Characters of finite-dimensional irreducible g(n)-modules
    • Penkov, I. and Serganova, V.: Characters of finite-dimensional irreducible g(n)-modules, Lett. Math. Phys. 40 (1997), 147-158.
    • (1997) Lett. Math. Phys. , vol.40 , pp. 147-158
    • Penkov, I.1    Serganova, V.2
  • 11
    • 84954069421 scopus 로고
    • The tensor algebra of the identity representation as a module over the Lie superalgebras gl(n,m) and Q(n)
    • Sergeev, A. N.: The tensor algebra of the identity representation as a module over the Lie superalgebras gl(n,m) and Q(n), Math. USSR Sbornik 51 (1985), 419-427.
    • (1985) Math. USSR Sbornik , vol.51 , pp. 419-427
    • Sergeev, A.N.1
  • 12
    • 0000737248 scopus 로고
    • The centre of the enveloping algebra for the Lie superalgebra Q(n, ℂ)
    • Sergeev, A. N.: The centre of the enveloping algebra for the Lie superalgebra Q(n, ℂ), Lett. Math. Phys. 7 (1983), 177-179.
    • (1983) Lett. Math. Phys. , vol.7 , pp. 177-179
    • Sergeev, A.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.