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Original Articles

Center and Representations of Infinitesimal Hecke Algebras of 𝔰𝔩2

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Pages 405-439 | Received 13 Dec 2007, Published online: 18 Feb 2010

REFERENCES

  • Brown , K. , Gordon , I. ( 2003 ). Poisson orders, symplectic reflection algebras and representation theory . J. Reine Angew. Math. 559 : 193 – 216 .
  • Etingof , P. , Ginzburg , V. ( 2002 ). Symplectic reflection algebras and Calogero–Moser spaces and deformed Harish–Chandra homomorphism . Inventiones Math. 147 ( 2 ): 243 – 348 .
  • Etingof , P. , Gan , W. L. , Ginzburg , V. ( 2005 ). Continuous Hecke algebras . Transform. Groups 10 ( 3–4 ): 423 – 447 .
  • Gan , W. L. , Khare , A. ( 2007 ). Quantized symplectic oscillator algebras of rank one . Journal of Algebra 310 ( 2 ): 671 – 707 .
  • Ginzburg , V. ( 2003 ). On primitive ideals . Selecta Math. 9 : 379 – 407 .
  • Humphreys , J. ( 1978 ). Introduction to Lie Algebras and Representation Theory . New York–Berlin : Springer-Verlag .
  • Khare , A. (2005). Category 𝒪 over a deformation of the symplectic oscillator algebra. Journal of Pure and Applied Algebra 195(2):131–166.
  • Khare , A. ( 2005 ). Axiomatic framework for the BGG category 𝒪. e-print, arXiv: 0811.2080
  • Quillen , D. ( 1969 ). On the endomorphism ring of a simple module over an enveloping algebra . Proc. Amer. Math. Soc. 21 : 171 – 172 .
  • Tikaradze , A. ( 2006 ). Center of infinitesimal Hecke algebra of 𝔰𝔩2. e-print, math.QA/0604498 .
  • Communicated by K. Misra.

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