Lie Subalgebras of Differential Operators on the Super Circle

Publications of the Research Institute for Mathematical Sciences

Volumn 39, Issue 3, 2003, Pages 545-600

  Cheng, Shun Jen ^a   Wang, Weiqiang ^b  

^a NATIONAL TAIWAN UNIVERSITY   (Taiwan)

^b University of Virginia   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0347933023     PISSN: 00345318     EISSN: 16634926     Source Type: Journal    
DOI: 10.2977/prims/1145476079     Document Type: Article

References (26)

1. 1+∞ algebra, Comm. Math. Phys., 170 (1995), 151-179.
2. [AFMO2] _, Character and determinant formulae of quasifinite representations of the W algebra, Comm. Math. Phys., 172 (1995), 377-400.
3. 1+∞ algebra, Quantum field theory, integrable models and beyond (Kyoto, 1994). Progr. Theor. Phys. Suppl., 118 (1995), 343-373.
4. [BS] Bouwknegt, P. and Schoutens, K., W-symmetry in conformal field theory, Phys. Rep., 223 (1993), 183-276.
5. [CL] Cheng, S.-J. and Lam, N., Infinite-dimensional Lie Superalgebras and Hook Schur Functions, Comm. Math. Phys., 238 (2003), 95-118.
6. [CW1] Cheng, S.-J. and Wang, W., Howe Duality for Lie Superalgebras, Compositio Math., 128 (2001), 55-94.
7. [CW2] _, Remarks on the Schur-Howe-Sergeev Duality, Lett. Math. Phys., 52 (2000), 143-153.
8. N) with central charge N, Comm. Math. Phys., 170 (1995), 337-357.
9. [FeF] Feigin, B. and Frenkel, E., Integrals of motions and quantum groups, Lect. Notes in Math., 1620 Berlin-Heidelberg-New York, Springer Verlag, 1996.
10. [FF] Feingold, A. and Frenkel, I., Classical affine algebras, Adv. Math., 56 (1985), 117-172.
11. [H1] Howe, R., Remarks on classical invariant theory, Trans. Amer. Math. Soc., 313 (1989), 539-570.
12. [H2] _, Perspectives on Invariant Theory: Schur Duality, Multiplicity-free Actions and Beyond, The Schur Lectures, Israel, Math. Conf. Proc., 8, Tel Aviv (1992), 1-182.
13. [K] Kac, V., Lie Superalgebras, Adv. Math., 26 (1977), 8-96.
14. [KP] Kac, V. and Peterson D., Spin and wedge representations of infinite-dimensional Lie algebras and groups, Proc. Natl. Acad. Sci. USA, 78 (1981), 3308-3312.
15. [KR1] Kac, V. and Radul, A., Quasi-finite highest weight modules over the Lie algebra of differential operators on the circle, Comm. Math. Phys., 157 (1993), 429-457.
16. 1+∞, Transf. Groups., 1 (1996), 41-70.
17. 1+∞, Adv. Math., 139 (1998), 56-140.
18. [MR] Manin, Y. and Radul, A., A supersymmetric extension of the Kadmtsev-Petviashivili Hierarchy, Comm. Math. Phys., 98 (1985), 65-77.
19. e, 30 (1997), 847-872.
20. n|m, Nuovo Cimento, 85 A (1985), 1-18.
21. [PRS1] Pope, C., Romans, L. and Shen, X., A new higher-spin algebra and the lone-start product, Phys. Lett., D242 (1990), 401-406.
22. ∞ and the Racah-Wiger algebra, Nucl. Phys., D339 (1990), 191-221.
23. [Se] Sergeev, A., An analog of the classical invariant theory for Lie superlagebras, I, II, math.RT/9810113, math.RT/9904079.
24. [W1] Wang, W., Duality in infinite dimensional Fock representations, Comm. Contem. Math., 1 (1999), 155-199.
25. 3 algebra, and Friedan-Martinec-Shenker bosonization, Comm. Math. Phys., 195 (1998), 95-111.
26. [W3] _, Dual Pairs and Infinite Dimensional Lie Algebras, In: N. Jing and K. C. Misra, (eds), Recent Developments in Quantum Affine Algebras and Related Topics, Contemp. Math., 248 (1999), 453-469.