메뉴 건너뛰기




Volumn , Issue 13, 2004, Pages 611-619

Quasideterminants and Casimir elements for the general linear Lie superalgebra

Author keywords

[No Author keywords available]

Indexed keywords


EID: 2442505575     PISSN: 10737928     EISSN: None     Source Type: Journal    
DOI: 10.1155/s1073792804132935     Document Type: Article
Times cited : (10)

References (16)
  • 3
    • 0002623668 scopus 로고
    • Determinants of matrices over noncommutative rings
    • I. M. Gelfand and V. S. Retakh, Determinants of matrices over noncommutative rings, Funct. Anal. Appl. 25 (1991), no. 2, 91-102.
    • (1991) Funct. Anal. Appl. , vol.25 , Issue.2 , pp. 91-102
    • Gelfand, I.M.1    Retakh, V.S.2
  • 4
    • 0003180791 scopus 로고
    • A theory of noncommutative determinants and characteristic functions of graphs
    • _, A theory of noncommutative determinants and characteristic functions of graphs, Funct. Anal. Appl. 26 (1992), no. 4, 1-20.
    • (1992) Funct. Anal. Appl. , vol.26 , Issue.4 , pp. 1-20
  • 5
    • 0001117173 scopus 로고
    • Representations of classical Lie superalgebras
    • Differential Geometrical Methods in Mathematical Physics, II (Proc. Conf., Univ. Bonn, Bonn, 1977) K. Bleuler, H. R. Petry, and A. Reetz, eds., Springer-Verlag, Berlin
    • V. Kac, Representations of classical Lie superalgebras, Differential Geometrical Methods in Mathematical Physics, II (Proc. Conf., Univ. Bonn, Bonn, 1977) (K. Bleuler, H. R. Petry, and A. Reetz, eds.), Lecture Notes in Math., vol. 676, Springer-Verlag, Berlin, 1978, pp. 597-626.
    • (1978) Lecture Notes in Math. , vol.676 , pp. 597-626
    • Kac, V.1
  • 6
    • 21844497633 scopus 로고
    • Minor identities for quasi-determinants and quantum determinants
    • D. Krob and B. Leclerc, Minor identities for quasi-determinants and quantum determinants, Comm. Math. Phys. 169 (1995), no. 1, 1-23.
    • (1995) Comm. Math. Phys. , vol.169 , Issue.1 , pp. 1-23
    • Krob, D.1    Leclerc, B.2
  • 7
    • 0003267686 scopus 로고
    • Symmetric functions and hall polynomials, 2nd ed.
    • The Clarendon Press, Oxford University Press, New York, with contributions by A. Zelevinsky
    • I. G. Macdonald, Symmetric Functions and Hall Polynomials, 2nd ed., Oxford Mathematical Monographs, The Clarendon Press, Oxford University Press, New York, 1995, with contributions by A. Zelevinsky.
    • (1995) Oxford Mathematical Monographs
    • Macdonald, I.G.1
  • 8
    • 0040446772 scopus 로고
    • Noncommutative symmetric functions and Laplace operators for classical Lie algebras
    • A. I. Molev, Noncommutative symmetric functions and Laplace operators for classical Lie algebras, Lett. Math. Phys. 35 (1995), no. 2, 135-143.
    • (1995) Lett. Math. Phys. , vol.35 , Issue.2 , pp. 135-143
    • Molev, A.I.1
  • 9
    • 0040329962 scopus 로고    scopus 로고
    • Factorial supersymmetric Schur functions and super Capelli identities
    • Kirillov's Seminar on Representation Theory, American Mathematical Society, Rhode Island
    • _, Factorial supersymmetric Schur functions and super Capelli identities, Kirillov's Seminar on Representation Theory (G. I. Olshanski, ed.), Amer. Math. Soc. Transl. Ser. 2, vol. 181, American Mathematical Society, Rhode Island, 1998, pp. 109-137.
    • (1998) Amer. Math. Soc. Transl. Ser. 2 , vol.181 , pp. 109-137
    • Olshanski, G.I.1
  • 10
    • 66049124215 scopus 로고    scopus 로고
    • Yangians and their applications
    • Elsevier, Amsterdam
    • _, Yangians and their applications, Handbook of Algebra (M. Hazewinkel, ed.), vol. 3, Elsevier, Amsterdam, 2003.
    • (2003) Handbook of Algebra , vol.3
    • Hazewinkel, M.1
  • 12
    • 0000697008 scopus 로고
    • Quantum Berezinian and the classical Capelli identity
    • M. L. Nazarov, Quantum Berezinian and the classical Capelli identity, Lett. Math. Phys. 21 (1991), no. 2, 123-131.
    • (1991) Lett. Math. Phys. , vol.21 , Issue.2 , pp. 123-131
    • Nazarov, M.L.1
  • 13
    • 0000096598 scopus 로고    scopus 로고
    • Yangians and Capelli identities
    • Kirillov's Seminar on Representation Theory, American Mathematical Society, Rhode Island
    • _, Yangians and Capelli identities, Kirillov's Seminar on Representation Theory (G. I. Olshanski, ed.), Amer. Math. Soc. Transl. Ser. 2, vol. 181, American Mathematical Society, Rhode Island, 1998, pp. 139-163.
    • (1998) Amer. Math. Soc. Transl. Ser. 2 , vol.181 , pp. 139-163
    • Olshanski, G.I.1
  • 14
    • 0002979621 scopus 로고    scopus 로고
    • Quantum immanants and higher Capelli identities
    • A. Okounkov, Quantum immanants and higher Capelli identities, Transform. Groups 1 (1996), no. 1-2, 99-126.
    • (1996) Transform. Groups , vol.1 , Issue.1-2 , pp. 99-126
    • Okounkov, A.1
  • 15
    • 0011575872 scopus 로고
    • Casimir elements of Lie superalgebras
    • Differential Geometric Methods in Mathematical Physics (Jerusalem, 1982), Reidel, Dordrecht
    • M. Scheunert, Casimir elements of Lie superalgebras, Differential Geometric Methods in Mathematical Physics (Jerusalem, 1982), Math. Phys. Stud., vol. 6, Reidel, Dordrecht, 1984, pp. 115-124.
    • (1984) Math. Phys. Stud. , vol.6 , pp. 115-124
    • Scheunert, M.1
  • 16
    • 0011694171 scopus 로고
    • A characterization of supersymmetric polynomials
    • J. R. Stembridge, A characterization of supersymmetric polynomials, J. Algebra 95 (1985), no. 2, 439-444.
    • (1985) J. Algebra , vol.95 , Issue.2 , pp. 439-444
    • Stembridge, J.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.