Primitive ideals in affinoid enveloping algebras of semisimple Lie algebras.

Autor:	Stanciu, Ioan
Předmět:	IDEALS (Algebra) LIE algebras REPRESENTATION theory NONCOMMUTATIVE rings ALGEBRA SEMIRINGS (Mathematics)
Zdroj:	Selecta Mathematica, New Series; Sep2022, Vol. 28 Issue 4, p1-60, 60p
Abstrakt:	For a semisimple Lie algebra defined over a discrete valuation ring with field of fractions K, we prove that any primitive ideal with rational central character in the affinoid enveloping algebra, U (g) K ^ , is the annihilator of an affinoid highest weight module. In the case n > 0 , we characterise all the primitive ideals in the affinoid algebra U (g) n , K ^ . [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
Externí odkaz:	Zobrazit plný text záznamu Full text from SpringerLink