We develop the general theory of Jackā€“Laurent symmetric functions, which are certain generalizations of the Jack symmetric functions, depending on an additional parameter š¯‘¯0.
Funding
This work was partially supported by the EPSRC (grant EP/J00488X/1). ANS also acknowledges the financial support from the Government of the Russian Federation within the framework of the implementation of the 5-100 Programme Roadmap of the National Research University Higher School of Economics.
History
School
Science
Department
Mathematical Sciences
Published in
Proceedings of the London Mathematical Society
Volume
111
Issue
1
Pages
63 - 92
Citation
VESELOV, A.P. and SERGEEV, A.N., 2015. Jack-Laurent symmetric functions. Proceedings of the London Mathematical Society, 111 (1), pp.63-92.
This work is made available according to the conditions of the Creative Commons Attribution 4.0 International (CC BY 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by/4.0/
Publication date
2015-06-11
Notes
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits
unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.