TOMOYUKI ARAKAWA

Japanese

Last Update: Thursday, May 6, 2010

Associate Professor

Department of Mathematics, Nara Women's University
E-MAIL:
Research Interests:

Representation Theory

Papers:
  1. Rationality of W-algebras, I: Bershadsky-Polyakov vertex algebras, arXiv:1005.0185 [math.QA].
  2. Associated varieties of modules over Kac-Moody algebras and $C_2$-cofiniteness of W-algebras, arXiv:1004.1554[math.QA].
  3. A remark on the $C_2$-cofiniteness condition on vertex algebras, arXiv:1004.1492 [math.QA].
  4. (with F. Malikov) A vertex algebra attached to the flag manifold and Lie algebra cohomology, arXiv:0911.0922v1 [math.AG].
  5. (with P. Fiebig) The linkage principle for restricted critical level representations of affine Kac-Moody algebras, arXiv:0909.4214v1 [math.RT].
  6. (with F. Malikov) A chiral Borel-Weil-Bott theorem, arXiv:0903.1281v2 [math.AG].
  7. (with P. Fiebig) On the restricted Verma modules at the critical level, arXiv:0812.3334v1 [math.RT].
  8. (with D. Chebotarov and F. Malikov) Algebras of twisted chiral differential operators and affine localization of $g$-modules, arXiv:0810.4964v2 [math.AG], to appear in Selecta Math.
  9. Representation theory of W-algebras, II: Ramond twisted representations, arXiv:0802.1564v2 [math.QA].
  10. Characters of representations of affine Kac-Moody Lie algebras at the critical level, arXiv:0706.1817v2 [math.QA].
  11. Representation Theory of W-Algebras, Invent. Math., Vol. 169 (2007), no. 2, 219--320.
  12. A New Proof of the Kac-Kazhdan Conjecture, Int. Math. Res. Not. 2006. Art. ID 27091, 5 pages.
  13. Representation Theory of Superconformal Algebras and the Kac-Roan-Wakimoto Conjecture, Duke Math. J., Vol. 130 (2005), No. 3, 435-478.
  14. Vanishing of cohomology associated to quantized Drinfeld-Sokolov reduction, Int. Math. Res. Not. 2004, no.15, 730--767.
  15. Drinfeld functor and finite-dimensional representations of Yangian, Comm. Math. Phys. 205 (1999), no. 1, 1--18.
  16. (with T. Suzuki) Duality between $sl_n(C)$ and the degenerate affine Hecke algebra, J. Algebra 209 (1998), no. 1, 288--304.
  17. (with T. Suzuki and A. Tsuchiya) Degenerate double affine Hecke algebra and conformal field theory. Topological field theory, primitive forms and related topics (Kyoto, 1996), 1--34, Progr. Math., 160, Birkhauser, 1998.
  18. (with T. Nakanishi, K. Oshima and A. Tsuchiya) Spectral decomposition of path space in solvable lattice model. Comm. Math. Phys. 181 (1996), no. 1, 157--182.
Prizes:
  1. 2008 The Young Scientists' Prize
    (The Commendation for Science and Technology by the Minister of Education, Culture, Sports, Science and Technology)
  2. 2004 Takebe Prize, Special Award

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Department of Mathematics, Nara Women's University

Nara Women's University