The weighted HP(ω) spaces on the homogeneous type spaces have been defined in [1],in this paper we shall show the equivalence of various characterizations of HP (ω) on the certain groups that are the special kind o...The weighted HP(ω) spaces on the homogeneous type spaces have been defined in [1],in this paper we shall show the equivalence of various characterizations of HP (ω) on the certain groups that are the special kind of the homogeneous type spaces.展开更多
Abstract homomorphisms between subgroups of algebraic groups were studied in detail by A.Borel, J.Tit.[1] and B.Wei.feile.[2] provided that the images of the homomorphisms are Zariski dense subsets and that the fields...Abstract homomorphisms between subgroups of algebraic groups were studied in detail by A.Borel, J.Tit.[1] and B.Wei.feile.[2] provided that the images of the homomorphisms are Zariski dense subsets and that the fields over which algebraic groups are defined are infinite. The purpose of this paper is to determine all embedding homomorphisms of SLn(k) into SLn(K) when k and K are any fields of the same characteristic, without assumption of Zariski density and infinitude of fields. The result in this paper generalizes a result of Chen Yu on homomorphisms of two dimensional linear groups[3].展开更多
In this paper,we show that the McKay quiver of a finite subgroup of a general linear group is a regular covering of the McKay quiver of its intersection with the special linear group.Using this and our results on &quo...In this paper,we show that the McKay quiver of a finite subgroup of a general linear group is a regular covering of the McKay quiver of its intersection with the special linear group.Using this and our results on "returning arrows" in McKay quiver,we give an algorithm to construct the McKay quiver of a finite abelian group.Using this construction,we show how the cone and cylinder of an(n-1)-Auslander absolute n-complete algebra are truncated from the McKay quivers of abelian groups.展开更多
A boundedness criterion is set up for some convolution operators on a compact Lie group.By this criterion a Hormander multiplier theorem is proved in the Hardy spaces on SU(2).
The author constructs unitary intertwiners for degenerate C*-algebraic universal principal series of SL(n + 1) over a local field by explicitely normalizing standard intertwining integrals at the level of Hilbert modu...The author constructs unitary intertwiners for degenerate C*-algebraic universal principal series of SL(n + 1) over a local field by explicitely normalizing standard intertwining integrals at the level of Hilbert modules.展开更多
文摘The weighted HP(ω) spaces on the homogeneous type spaces have been defined in [1],in this paper we shall show the equivalence of various characterizations of HP (ω) on the certain groups that are the special kind of the homogeneous type spaces.
文摘Abstract homomorphisms between subgroups of algebraic groups were studied in detail by A.Borel, J.Tit.[1] and B.Wei.feile.[2] provided that the images of the homomorphisms are Zariski dense subsets and that the fields over which algebraic groups are defined are infinite. The purpose of this paper is to determine all embedding homomorphisms of SLn(k) into SLn(K) when k and K are any fields of the same characteristic, without assumption of Zariski density and infinitude of fields. The result in this paper generalizes a result of Chen Yu on homomorphisms of two dimensional linear groups[3].
基金supported by National Natural Science Foundation of China (Grant No.10971172)
文摘In this paper,we show that the McKay quiver of a finite subgroup of a general linear group is a regular covering of the McKay quiver of its intersection with the special linear group.Using this and our results on "returning arrows" in McKay quiver,we give an algorithm to construct the McKay quiver of a finite abelian group.Using this construction,we show how the cone and cylinder of an(n-1)-Auslander absolute n-complete algebra are truncated from the McKay quivers of abelian groups.
文摘A boundedness criterion is set up for some convolution operators on a compact Lie group.By this criterion a Hormander multiplier theorem is proved in the Hardy spaces on SU(2).
文摘The author constructs unitary intertwiners for degenerate C*-algebraic universal principal series of SL(n + 1) over a local field by explicitely normalizing standard intertwining integrals at the level of Hilbert modules.
