Affiliation:
1. Department of Mathematics, Shantou University, Shantou, China
Abstract
Abstract
In this paper we introduce a family of Deligne–Lusztig-type varieties attached to connected reductive groups over quotients of discrete valuation rings, naturally generalising the higher Deligne–Lusztig varieties and some constructions related to the algebraisation problem raised by Lusztig. We establish the inner product formula between the representations associated to these varieties and the higherDeligne–Lusztig representations.
Funder
Scientific Research Foundation of the State of Rio Grande do Norte
Publisher
Oxford University Press (OUP)
Reference17 articles.
1. Greenberg functor revisited;Bertapelle;European Journal of Mathematics,2018
2. Graduate Texts in Mathematics 126;Borel,1991
3. Reprint of the 1985 original;Carter,1993
4. On generalised Deligne–Lusztig constructions;Chen,2017
5. The algebraisation of higher Deligne–Lusztig representations;Chen;Selecta Math. (N.S.),2017
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献