unipotent element

См. также в других словарях:

• Unipotent — In mathematics, a unipotent element r of a ring R is one such that r − 1 is a nilpotent element, in other words such that some power ( r − 1) n is zero.In particular a square matrix M is a unipotent matrix if and only if its characteristic… …   Wikipedia

• unipotent — adjective a) Having the capacity to develop into only one type of cell or tissue b) Having a single idempotent element See Also: idempotent, nilpotent, nullipotent …   Wiktionary

• Springer correspondence — In mathematics, the Springer representations are certain representations of the Weyl group W associated to unipotent conjugacy classes of a semisimple algebraic group G . There is another parameter involved, a representation of a certain finite… …   Wikipedia

• Deligne–Lusztig theory — In mathematics, Deligne–Lusztig theory is a way of constructing linear representations of finite groups of Lie type using ℓ adic cohomology with compact support, introduced by Deligne Lusztig (1976). Lusztig (1984) used these representations to… …   Wikipedia

• Special classes of semigroups — In mathematics, a semigroup is a nonempty set together with an associative binary operation. A special class of semigroups is a class of semigroups satisfying additional properties or conditions. Thus the class of commutative semigroups consists… …   Wikipedia

• Jordan–Chevalley decomposition — In mathematics, the Jordan–Chevalley decomposition, named after Camille Jordan and Claude Chevalley (also known as Dunford decomposition, named after Nelson Dunford, as well as SN decomposition), expresses a linear operator as the sum of its… …   Wikipedia

• List of algebraic structures — In universal algebra, a branch of pure mathematics, an algebraic structure is a variety or quasivariety. Abstract algebra is primarily the study of algebraic structures and their properties. Some axiomatic formal systems that are neither… …   Wikipedia

• Outline of algebraic structures — In universal algebra, a branch of pure mathematics, an algebraic structure is a variety or quasivariety. Abstract algebra is primarily the study of algebraic structures and their properties. Some axiomatic formal systems that are neither… …   Wikipedia

• Inverse semigroup — In mathematics, an inverse semigroup S is a semigroup in which every element x in S has a unique inverse y in S in the sense that x = xyx and y = yxy. Inverse semigroups appear in a range of contexts; for example, they can be employed in the… …   Wikipedia

• Nilpotent — This article is about a type of element in a ring. For the type of group, see Nilpotent group. In mathematics, an element x of a ring R is called nilpotent if there exists some positive integer n such that xn = 0. The term was… …   Wikipedia

• Steinberg representation — In mathematics, the Steinberg representation, or Steinberg module, denoted by St , is a particular linear representation of a group of Lie type over a finite field of characteristic p , of degree equal to the largest power of p dividing the order …   Wikipedia