Exceptional representations of simple algebraic groups
8 Angebote vergleichen

Lieferung aus: Schweiz, Versandfertig innert 4 - 7 Werktagen.
Let G be a simply connected simple algebraic group over an algebraically closed field K of positive characteristic p, with root system R and g=L(G) be its restricted Lie algebra. Let V be a finite dimensional g-module over K. For any point v in V, the isotropy subgroup of v in G and the isotropy subalgebra of v in g are defined. A restricted g-module V is called exceptional if for each v in V, its isotropy subalgebra contains a non-central element. This book presents a classification of irreducible exceptional g-modules. A necessary condition for a g-module to be exceptional is found and a complete classification of modules over groups of simple algebraic groups of exceptional type and of classical type A is obtained. For modules over groups of classical types B, C and D, the general problem is reduced to a short list of unclassified modules. The classification of exceptional modules is expected to have applications in modular invariant theory and in the classification of modular simple Lie superalgebras. Taschenbuch, 13.12.2014.

Lieferung aus: Vereinigte Staaten von Amerika, Lagernd, zzgl. Versandkosten.
Let G be a simply connected simple algebraic group over an algebraically closed field K of positive characteristic p, with root system R and g=L(G) be its restricted Lie algebra. Let V be a finite dimensional g-module over K. For any point v in V, the isotropy subgroup of v in G and the isotropy subalgebra of v in g are defined. A restricted g-module V is called exceptional if for each v in V, its isotropy subalgebra contains a non-central element. This book presents a classification of irreducible exceptional g-modules. A necessary condition for a g-module to be exceptional is found and a complete classification of modules over groups of simple algebraic groups of exceptional type and of classical type A is obtained. For modules over groups of classical types B, C and D, the general problem is reduced to a short list of unclassified modules. The classification of exceptional modules is expected to have applications in modular invariant theory and in the classification of modular simple Lie superalgebras.

Lieferung aus: Deutschland, zzgl. Versandkosten.
Let G be a simply connected simple algebraic group over an algebraically closed field K of positive characteristic p, with root system R and g=L(G) be its restricted Lie algebra. Let V be a finite dimensional g-module over K. For any point v in V, the isotropy subgroup of v in G and the isotropy subalgebra of v in g are defined. A restricted g-module V is called exceptional if for each v in V, its isotropy subalgebra contains a non-central element. This book presents a classification of irreducible exceptional g-modules. A necessary condition for a g-module to be exceptional is found and a complete classification of modules over groups of simple algebraic groups of exceptional type and of classical type A is obtained. For modules over groups of classical types B, C and D, the general problem is reduced to a short list of unclassified modules. The classification of exceptional modules is expected to have applications in modular invariant theory and in the classification of modular simple Lie superalgebras.

Lieferung aus: Schweiz, Lieferzeit: 2 Tage, zzgl. Versandkosten.
Let G be a simply connected simple algebraic group over an algebraically closed field K of positive characteristic p, with root system R and g=L(G) be its restricted Lie algebra. Let V be a finite dimensional g-module over K. For any point v in V, the isotropy subgroup of v in G and the isotropy subalgebra of v in g are defined. A restricted g-module V is called exceptional if for each v in V, its isotropy subalgebra contains a non-central element. This book presents a classification of irreducible exceptional g-modules. A necessary condition for a g-module to be exceptional is found and a complete classification of modules over groups of simple algebraic groups of exceptional type and of classical type A is obtained. For modules over groups of classical types B, C and D, the general problem is reduced to a short list of unclassified modules. The classification of exceptional modules is expected to have applications in modular invariant theory and in the classification of modular simple Lie superalgebras.

Lieferung aus: Deutschland, Versandkostenfrei.
Exceptional representations of simple algebraic groups: Let G be a simply connected simple algebraic group over an algebraically closed field K of positive characteristic p, with root system R and g=L(G) be its restricted Lie algebra. Let V be a finite dimensional g-module over K. For any point v in V, the isotropy subgroup of v in G and the isotropy subalgebra of v in g are defined. A restricted g-module V is called exceptional if for each v in V, its isotropy subalgebra contains a non-central element. This book presents a classification of irreducible exceptional g-modules. A necessary condition for a g-module to be exceptional is found and a complete classification of modules over groups of simple algebraic groups of exceptional type and of classical type A is obtained. For modules over groups of classical types B, C and D, the general problem is reduced to a short list of unclassified modules. The classification of exceptional modules is expected to have applications in modular invariant theory and in the classification of modular simple Lie superalgebras. Englisch, Taschenbuch.

Von Händler/Antiquariat, Citi Retail [9235530], Lowfield Heath, CRAWL, United Kingdom.
Paperback. Shipping may be from our UK, US or Australian warehouse depending on stock availability. This item is printed on demand. 168 pages. 0.057.

Lieferung aus: Deutschland, Next Day, Versandkostenfrei.
Die Beschreibung dieses Angebotes ist von geringer Qualität oder in einer Fremdsprache. Trotzdem anzeigen