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Volumn 110, Issue 1, 2001, Pages 121-160

Multiplets of representations and Kostant's Dirac operator for equal rank loop groups

(1)  Landweber, Gregory D a  

a NONE

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EID: 11944254510     PISSN: 00127094     EISSN: None     Source Type: Journal    
DOI: 10.1215/S0012-7094-01-11014-4     Document Type: Article
Times cited : (16)

References (13)
  • 1
    • 0034340694 scopus 로고    scopus 로고
    • The non-commutative Weil algebra
    • A. Alekseev and E. Meinrenken, The non-commutative Weil algebra, Invent. Math. 139 (2000), 135-172.
    • (2000) Invent. Math. , vol.139 , pp. 135-172
    • Alekseev, A.1    Meinrenken, E.2
  • 2
    • 0032555274 scopus 로고    scopus 로고
    • The Weyl character formula, the half-spin representations, and equal rank subgroups
    • B. Gross, B. Kostant, P. Ramond, and S. Sternberg, The Weyl character formula, the half-spin representations, and equal rank subgroups, Proc. Natl. Acad. Sci. USA 95 (1998), 8441-8442.
    • (1998) Proc. Natl. Acad. Sci. USA , vol.95 , pp. 8441-8442
    • Gross, B.1    Kostant, B.2    Ramond, P.3    Sternberg, S.4
  • 3
    • 0000675963 scopus 로고
    • Superconformal current algebras and their unitary representations
    • V. G. Kac and T. Todorov, Superconformal current algebras and their unitary representations, Comm. Math. Phys. 102 (1985), 337-347.,;
    • (1985) Comm. Math. Phys. , vol.102 , pp. 337-347
    • Kac, V.G.1    Todorov, T.2
  • 5
    • 0000109652 scopus 로고
    • Characterization of $N=2$ superconformal models generated by the coset space method
    • Y. Kazama and H. Suzuki, Characterization of $N=2$ superconformal models generated by the coset space method, Phys. Lett. B 216 (1989), 112-116.
    • (1989) Phys. Lett. B 216 , pp. 112-116
    • Kazama, Y.1    Suzuki, H.2
  • 6
    • 33646045703 scopus 로고
    • New $N=2$ superconformal field theories and superstring compactification
    • _, New $N=2$ superconformal field theories and superstring compactification, Nuclear Phys. B 321 (1989), 232-268.
    • (1989) Nuclear Phys. B , vol.321 , pp. 232-268
  • 7
    • 0000395271 scopus 로고
    • Lie algebra cohomology and the generalized Borel-Weil theorem
    • B. Kostant, Lie algebra cohomology and the generalized Borel-Weil theorem, Ann. of Math. (2) 74 (1961), 329-387.
    • (1961) Ann. of Math. (2) , vol.74 , pp. 329-387
    • Kostant, B.1
  • 8
    • 0033573187 scopus 로고    scopus 로고
    • A cubic Dirac operator and the emergence of Euler number multiplets of representations for equal rank subgroups
    • _, A cubic Dirac operator and the emergence of Euler number multiplets of representations for equal rank subgroups, Duke Math. J. 100 (1999), 447-501.
    • (1999) Duke Math. J. , vol.100 , pp. 447-501
  • 9
    • 0003098983 scopus 로고
    • Symplectic reduction, BRS cohomology, and infinite-dimensional Clifford algebras
    • B. Kostant and S. Sternberg, Symplectic reduction, BRS cohomology, and infinite-dimensional Clifford algebras, Ann. Physics 176 (1987), 49-113.
    • (1987) Ann. Physics , vol.176 , pp. 49-113
    • Kostant, B.1    Sternberg, S.2
  • 10
    • 85009767241 scopus 로고    scopus 로고
    • Harmonic spinors on homogeneous spaces
    • G. D. Landweber, Harmonic spinors on homogeneous spaces, Represent. Theory 4 (2000), 466-473, http://ams.org/ert/home-2000.html.
    • (2000) Represent. Theory , vol.4 , pp. 466-473
    • Landweber, G.D.1
  • 11
    • 84973997896 scopus 로고
    • Orientation and string structures on loop space
    • D. A. McLaughlin, Orientation and string structures on loop space, Pacific J. Math. 155 (1992), 143-156.
    • (1992) Pacific J. Math. , vol.155 , pp. 143-156
    • McLaughlin, D.A.1
  • 13
    • 33751150804 scopus 로고
    • Dirac operators on a compact Lie group
    • S. Slebarski, Dirac operators on a compact Lie group, Bull. London Math. Soc. 17 (1985), 579-583.
    • (1985) Bull. London Math. Soc. , vol.17 , pp. 579-583
    • Slebarski, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.