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Finitedimensional representation theory of loop . . .
, 2009
"... We survey some important results concerning the finite–dimensional representations of the loop algebras g ⊗ C [ t ±1] of a simple complex Lie algebra g, and their twisted loop subalgebras. In particular, we review the parametrization and description of the Weyl modules and of the irreducible finite ..."
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Cited by 2 (1 self)
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We survey some important results concerning the finite–dimensional representations of the loop algebras g ⊗ C [ t ±1] of a simple complex Lie algebra g, and their twisted loop subalgebras. In particular, we review the parametrization and description of the Weyl modules and of the irreducible
SPECTRAL CHARACTERS OF FINITE–DIMENSIONAL REPRESENTATIONS OF AFFINE ALGEBRAS
"... In this paper we study the category C of finite–dimensional representations of affine Lie algebras. The irreducible objects of this category were classified and described explicitly in [2],[4]. It was known ..."
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Cited by 22 (7 self)
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In this paper we study the category C of finite–dimensional representations of affine Lie algebras. The irreducible objects of this category were classified and described explicitly in [2],[4]. It was known
FINITE DIMENSIONAL REPRESENTATIONS OF THE SOFT TORUS
, 1998
"... Abstract. The soft tori constitute a continuous deformation, in a very precise sense, from the commutative C ∗algebra C(T 2) to the highly noncommutative C ∗algebra C ∗ (F2). Since both of these C ∗algebras are known to have a separating family of finite dimensional representations, it is natura ..."
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Abstract. The soft tori constitute a continuous deformation, in a very precise sense, from the commutative C ∗algebra C(T 2) to the highly noncommutative C ∗algebra C ∗ (F2). Since both of these C ∗algebras are known to have a separating family of finite dimensional representations
FINITE DIMENSIONAL REPRESENTATIONS OF THE PROJECTIVE MODULAR GROUP
, 2006
"... Abstract. We study finite dimensional representations of the projective modular group. Various explicit dimension formulas are given. 1. ..."
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Abstract. We study finite dimensional representations of the projective modular group. Various explicit dimension formulas are given. 1.
IRREDUCIBLE FINITEDIMENSIONAL REPRESENTATIONS OF EQUIVARIANT MAP ALGEBRAS
, 2009
"... Suppose a finite group acts on an algebraic variety X and a finitedimensional semisimple Lie algebra g. The corresponding equivariant map algebra is the Lie algebra M of equivariant regular maps from X to g. We classify the irreducible finitedimensional representations of these algebras. In partic ..."
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Cited by 22 (5 self)
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Suppose a finite group acts on an algebraic variety X and a finitedimensional semisimple Lie algebra g. The corresponding equivariant map algebra is the Lie algebra M of equivariant regular maps from X to g. We classify the irreducible finitedimensional representations of these algebras
Construction and classification of indecomposable finitedimensional representations of the homogeneous
, 2006
"... We discuss finitedimensional representations of the homogeneous Galilei group which, when restricted to its subgroup SO(3), are decomposed to spin 0, 1 2 and 1 representations. In particular we explain how these representations were obtained in our paper (M. de Montigny et al.: J. Phys. A 39 (2006) ..."
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We discuss finitedimensional representations of the homogeneous Galilei group which, when restricted to its subgroup SO(3), are decomposed to spin 0, 1 2 and 1 representations. In particular we explain how these representations were obtained in our paper (M. de Montigny et al.: J. Phys. A 39 (2006
FINITEDIMENSIONAL REPRESENTATIONS OF HYPER LOOP ALGEBRAS
, 2007
"... Abstract: We study finitedimensional representations of hyper loop algebras, i.e., the hyperalgebras over an algebraically closed field of positive characteristic associated to the loop algebra over a complex finitedimensional simple Lie algebra. The main results are the classification of the irre ..."
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Cited by 8 (5 self)
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Abstract: We study finitedimensional representations of hyper loop algebras, i.e., the hyperalgebras over an algebraically closed field of positive characteristic associated to the loop algebra over a complex finitedimensional simple Lie algebra. The main results are the classification
On Algebras That Almost Have Finite Dimensional Representations
, 2003
"... Abstract. We introduce the notion of almost finite dimensional representability of algebras and study its connection with the classical finiteness conditions. AMS Subject Classifications: 16N80, 16P99 ..."
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Abstract. We introduce the notion of almost finite dimensional representability of algebras and study its connection with the classical finiteness conditions. AMS Subject Classifications: 16N80, 16P99
FINITE DIMENSIONAL REPRESENTATIONS OF WALGEBRAS
, 2009
"... Walgebras of finite type are certain finitely generated associative algebras closely related to universal enveloping algebras of semisimple Lie algebras. In this paper we prove a conjecture of Premet that gives an almost complete classification of finite dimensional irreducible modules for Walge ..."
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Cited by 13 (11 self)
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Walgebras of finite type are certain finitely generated associative algebras closely related to universal enveloping algebras of semisimple Lie algebras. In this paper we prove a conjecture of Premet that gives an almost complete classification of finite dimensional irreducible modules for W
Results 1  10
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2,649