Given a commutative field F, the Whitehead functor K1 and Steinberge functor K2 are closely related to the theory of general linear group through exact sequences of groups. In this paper, the group structure of SLn over a field F is closely examined and its root system is computed. Only the case n = 3 is considered.Journal of the Nigerian Association of Mathematical Physics, Volume 15 (November, 2009), pp 1 -
Abstract. The focus of this paper is the standard linear representation of the group SLn(C)×SLm(C)×S...
AbstractWe give several resolutions of the Steinberg representation Stn for the general linear group...
We prove that for any infinite field F, the map H-3(SLn(F), Z) -> H-3(SLn+1 (F), Z) is an isomorphis...
Functoriality is one of the most central questions in the theory of automor-phic forms and represent...
AbstractIn this paper we apply the Garland–Lepowsky Theorem to compute the homology of the Lie algeb...
Let N be the set of natural numbers. Let F be a field. In [1], we introduced a class of groups SL^p_...
AbstractWe prove that for any infinite field F, the map H3(SLn(F),Z)→H3(SLn+1(F),Z) is an isomorphis...
The Steinberg tensor product theorem is a fundamental tool for study-ing irreducible representations...
Abstract. We introduce and study the class of groups graded by root sys-tems. We prove that if Φ is ...
Abstract. We introduce and study the class of groups graded by root sys-tems. We prove that if Φ is ...
AbstractFor a natural number n and a prime power q the general, special, projective general and proj...
Abstract. We prove analogues of the fundamental theorem of K-theory for the second and third homolog...
AbstractIf R is a division ring and n ≥ 2, then we give an elegant, basis free, presentation for the...
We present an algorithm for the computation of logarithmic l-class groups of number fields. Our prin...
AbstractThe Steinberg tensor product theorem is a fundamental tool for studying irreducible represen...
Abstract. The focus of this paper is the standard linear representation of the group SLn(C)×SLm(C)×S...
AbstractWe give several resolutions of the Steinberg representation Stn for the general linear group...
We prove that for any infinite field F, the map H-3(SLn(F), Z) -> H-3(SLn+1 (F), Z) is an isomorphis...
Functoriality is one of the most central questions in the theory of automor-phic forms and represent...
AbstractIn this paper we apply the Garland–Lepowsky Theorem to compute the homology of the Lie algeb...
Let N be the set of natural numbers. Let F be a field. In [1], we introduced a class of groups SL^p_...
AbstractWe prove that for any infinite field F, the map H3(SLn(F),Z)→H3(SLn+1(F),Z) is an isomorphis...
The Steinberg tensor product theorem is a fundamental tool for study-ing irreducible representations...
Abstract. We introduce and study the class of groups graded by root sys-tems. We prove that if Φ is ...
Abstract. We introduce and study the class of groups graded by root sys-tems. We prove that if Φ is ...
AbstractFor a natural number n and a prime power q the general, special, projective general and proj...
Abstract. We prove analogues of the fundamental theorem of K-theory for the second and third homolog...
AbstractIf R is a division ring and n ≥ 2, then we give an elegant, basis free, presentation for the...
We present an algorithm for the computation of logarithmic l-class groups of number fields. Our prin...
AbstractThe Steinberg tensor product theorem is a fundamental tool for studying irreducible represen...
Abstract. The focus of this paper is the standard linear representation of the group SLn(C)×SLm(C)×S...
AbstractWe give several resolutions of the Steinberg representation Stn for the general linear group...
We prove that for any infinite field F, the map H-3(SLn(F), Z) -> H-3(SLn+1 (F), Z) is an isomorphis...
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