Dr Alexey Sevastyanov
BSc MSs (St. Petersburg) PhD (Uppsala)
Reader
- About
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- Email Address
- a.sevastyanov@abdn.ac.uk
- Telephone Number
- +44 (0)1224 272755
- Office Address
Fraser Noble, room 165
- School/Department
- School of Natural and Computing Sciences
- Research
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Research Overview
Alexey Sevastyanov's research interests lie in Algebra, Representation Theory, Poisson Geometry, Integrable systems, Mathematical Physics.
- Publications
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Page 1 of 1 Results 1 to 15 of 15
Towards non-perturbative quantization and the mass gap problem for the Yang-Mills Field
Reviews in Mathematical Physics, vol. 34, no. 01, 2150036Contributions to Journals: ArticlesQ-W-algebras, Zhelobenko operators and a proof of De Concini-Kac-Procesi conjecture
Working Papers: Working PapersTowards non-perturbative quantization and the mass gap problem for the Yang-Mills Field
Working Papers: Working PapersThe structure of Q-W algebras
Transformation Groups, vol. 25, no. 1, pp. 279–304Contributions to Journals: ArticlesStrictly Transversal Slices to Conjugacy Classes in Algebraic Groups
Journal of Algebra, vol. 520, pp. 309-366Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1016/j.jalgebra.2018.11.008
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/13318/1/slicecorr.pdf
Representations of quantum groups at roots of unity, Whittaker vectors and q-W algebras
Journal of Algebra, vol. 511, pp. 63-94Contributions to Journals: ArticlesLocalization of quantum biequivariant Ɗ-modules and q–W algebras
Proceedings of the London Mathematical Society, vol. 113, no. 5, pp. 583-626Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1112/plms/pdw041
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/7365/1/Dmodnew3.pdf
The geometric meaning of Zhelobenko operators
Transformation Groups, vol. 18, no. 3, pp. 865-875Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1007/s00031-013-9234-9
- [OPEN ACCESS] http://aura.abdn.ac.uk/bitstream/2164/3415/1/Zhf.pdf
Conjugacy classes in Weyl groups and q-W algebras
Advances in Mathematics, vol. 228, no. 3, pp. 1315-1376Contributions to Journals: Articles- [ONLINE] http://arxiv.org/abs/1011.2431
- [ONLINE] DOI: https://doi.org/10.1016/j.aim.2011.06.018
Algebraic Group Analogues of the Slodowy Slices and Deformations of Poisson W-algebras
International Mathematics Research Notices, vol. 2011, no. 8, pp. 1880-1925Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1093/imrn/rnq139
Localizaion of nonlocal Lagrangians and mass generation for non-abelian gauge fields
International Journal of Modern Physics A, vol. 23, no. 26, pp. 4289-4313Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1142/S0217751X08041335
An equivalence of two mass generation mechanisms for gauge fields
International Journal of Modern Physics A, vol. 23, no. 13, pp. 1973-1993Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1142/S0217751X08039803
An analogue of the operator curl for nonabelian gauge groups and scattering theory
Bulletin of the London Mathematical Society, vol. 39, no. 6, pp. 1005-1018Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1112/blms/bdm100
Drinfeld-Sokolov reduction for quantum groups and deformations of W-algebras
Selecta Mathematica, vol. 8, no. 4, pp. 637-703Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1007/PL00012604
Semi-Infinite Cohomology and Hecke Algebras
Advances in Mathematics, vol. 159, no. 1, pp. 83-141Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1006/aima.2000.1974