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10,431
Structure of Strati Modules for FiniteDimensional Lie Algebras
 Journal of Algebra, I
, 1996
"... Structure of stratied modules for nitedimensional Lie algebras II. BGGresolution in the simplylaced case V. Futorny and V. Mazorchuk We construct the strong BGGresolution for irreducible stratied modules over nitedimensional simple Lie algebras with simplylaced diagrams. 1 ..."
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Cited by 2 (1 self)
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Structure of stratied modules for nitedimensional Lie algebras II. BGGresolution in the simplylaced case V. Futorny and V. Mazorchuk We construct the strong BGGresolution for irreducible stratied modules over nitedimensional simple Lie algebras with simplylaced diagrams. 1
Modules for certain Lie algebras of maximal class
 J. Pure Appl. Algebra
, 1995
"... Let g be a nitedimensional Lie algebra over a eld k of characteristic zero. By Ado's Theorem it is known that there exists a faithful g module M of nite dimension. Hence we may consider the following integer valued invariant of g: (g): = minfdimk M j M is a faithful g moduleg: ..."
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Cited by 13 (7 self)
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Let g be a nitedimensional Lie algebra over a eld k of characteristic zero. By Ado's Theorem it is known that there exists a faithful g module M of nite dimension. Hence we may consider the following integer valued invariant of g: (g): = minfdimk M j M is a faithful g moduleg:
ON THE SPECTRAL SET OF A SOLVABLE LIE ALGEBRA OF OPERATORS *
"... Abstract: If L is a complex solvable ¯nite dimensional Lie Algebra of operators acting on a Banach space E, and fxig1·i·n is a Jordan{HÄolder basis of L, we study the relation between Sp(L;E) and Q Sp(xi), when L is a nilpotent or a solvable Lie algebra. 1 ..."
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Abstract: If L is a complex solvable ¯nite dimensional Lie Algebra of operators acting on a Banach space E, and fxig1·i·n is a Jordan{HÄolder basis of L, we study the relation between Sp(L;E) and Q Sp(xi), when L is a nilpotent or a solvable Lie algebra. 1
Unitary Irreducible Representations of a Lie Algebra for Open Matrix Chains
, 2001
"... . We construct highest weight unitary irreducible representations of a Lie algebra for open quantum matrix chains akin to quotients of Verma modules for simple nitedimensional Lie algebras. Those representations resembling typical unitary irreducible representations of gl(n) turn out to be tensor p ..."
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Cited by 4 (2 self)
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. We construct highest weight unitary irreducible representations of a Lie algebra for open quantum matrix chains akin to quotients of Verma modules for simple nitedimensional Lie algebras. Those representations resembling typical unitary irreducible representations of gl(n) turn out to be tensor
Concurrent Constraint Programming
, 1993
"... This paper presents a new and very rich class of (concurrent) programming languages, based on the notion of comput.ing with parhal information, and the concommitant notions of consistency and entailment. ’ In this framework, computation emerges from the interaction of concurrently executing agent ..."
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Cited by 502 (16 self)
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be possible. To reflect this view of computation, [Sar89] develops the cc family of languages. We present here one member of the family, CC(.L,+) (pronounced “cc with Ask and Choose”) which provides the basic operations of blocking Ask and atomic Tell and an algebra of behaviors closed under prefixing
A combinatorial description of blocks in O(P, Λ) associated with sl(2)induction
"... We study the category O(P; ), where is an admissible category of dense weight sl(2)modules. We give a combinatorial description of projectively stratied algebras, arising from O(P; ) and prove a double centralizer property. Moreover, we determine the characters of tilting modules in O(P; ) and ..."
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(P; ) and prove that the nitedimensional algebra associated with the principal block of our O(P; ) is its own Ringel dual. 1 Introduction Together with its denition in [BGG], two basic facts of the category O, associated with a simple complex nitedimensional Lie algebra G, were established. The rst states
Introduction to SH Lie algebras for physicists
, 1992
"... Much of point particle physics can be described in terms of Lie algebras and ..."
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Cited by 216 (20 self)
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Much of point particle physics can be described in terms of Lie algebras and
LIE ALGEBRAS WITH A COALGEBRA SPLITTING
"... In their recent article [5], the authors endow every nitedimensional simple complex Lie algebra g with a coalgebra structure such that the composition of the two structure maps : g ! g Cg and : g ..."
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In their recent article [5], the authors endow every nitedimensional simple complex Lie algebra g with a coalgebra structure such that the composition of the two structure maps : g ! g Cg and : g
Renormalization in quantum field theory and the RiemannHilbert problem. II. The βfunction, diffeomorphisms and the renormalization group
 Comm. Math. Phys
"... We show that renormalization in quantum field theory is a special instance of a general mathematical procedure of multiplicative extraction of finite values based on the Riemann–Hilbert problem. Given a loop γ(z), z  = 1 of elements of a complex Lie group G the general procedure is given by evalu ..."
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Cited by 332 (39 self)
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We show that renormalization in quantum field theory is a special instance of a general mathematical procedure of multiplicative extraction of finite values based on the Riemann–Hilbert problem. Given a loop γ(z), z  = 1 of elements of a complex Lie group G the general procedure is given
Results 1  10
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10,431