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197
CARTAN DECOMPOSITION OF THE MOMENT MAP
, 2005
"... Abstract. We investigate a class of actions of real Lie groups on complex spaces. Using moment map techniques we establish the existence of a quotient and a version of Luna’s slice theorem as well as a version of the HilbertMumford criterion. A global slice theorem is proved for proper actions. We ..."
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Cited by 20 (4 self)
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give new proofs of results of Mostow on decompositions of groups and homogeneous spaces. 1.
Some convexity results for the Cartan decomposition
"... In this paper, we consider the set S = a(e ) where a(g) is the abelian part in the Cartan decomposition of g. This is exactly the support of the measure intervening in the product formula for the spherical functions on symmetric spaces of noncompact type. ..."
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Cited by 3 (2 self)
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In this paper, we consider the set S = a(e ) where a(g) is the abelian part in the Cartan decomposition of g. This is exactly the support of the measure intervening in the product formula for the spherical functions on symmetric spaces of noncompact type.
A Scheme of Cartan Decomposition for su(N)
, 2006
"... A scheme to perform the Cartan decomposition for the Lie algebra su(N) of arbitrary finite dimensions is introduced. The scheme is based on two algebraic structures, the conjugate partition and the quotient algebra, that are easily generated by a Cartan subalgebra and generally exist in su(N). In pa ..."
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A scheme to perform the Cartan decomposition for the Lie algebra su(N) of arbitrary finite dimensions is introduced. The scheme is based on two algebraic structures, the conjugate partition and the quotient algebra, that are easily generated by a Cartan subalgebra and generally exist in su
Cartandecomposition subgroups of SU(2, n)
 SUBMITTED TO THE JOURNAL OF LIE THEORY (JULY 2000)
, 2000
"... We give explicit, practical conditions that determine whether or not a closed, connected subgroup H of G = SU(2, n) has the property that there exists a compact subset C of G with CHC = G. To do this, we fix a Cartan decomposition G = KA + K of G, and then carry out an approximate calculation of (K ..."
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Cited by 3 (1 self)
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We give explicit, practical conditions that determine whether or not a closed, connected subgroup H of G = SU(2, n) has the property that there exists a compact subset C of G with CHC = G. To do this, we fix a Cartan decomposition G = KA + K of G, and then carry out an approximate calculation
CartanDecomposition Subgroups of SO(2,n)
, 1999
"... For G = SL(3; R) and G = SO(2; n), we give explicit, practical conditions that determine whether or not a closed, connected subgroup H of G has the property that there exists a compact subset C of G with CHC = G. To do this, we x a Cartan decomposition G = KA + K of G, and then carry out an appro ..."
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For G = SL(3; R) and G = SO(2; n), we give explicit, practical conditions that determine whether or not a closed, connected subgroup H of G has the property that there exists a compact subset C of G with CHC = G. To do this, we x a Cartan decomposition G = KA + K of G, and then carry out
VON NEUMANN ALGEBRAS WITH UNIQUE CARTAN DECOMPOSITION
, 2013
"... Abstract. These are the lectures notes from a minicourse given at the Masterclass on “Ergodic theory and von Neumann algebras ” at the ..."
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Abstract. These are the lectures notes from a minicourse given at the Masterclass on “Ergodic theory and von Neumann algebras ” at the
CHAPLYGIN SYSTEMS ASSOCIATED TO CARTAN DECOMPOSITIONS OF SEMISIMPLE LIE GROUPS
, 907
"... Abstract. We relate a Chaplygin type system to a Cartan decomposition of a real semisimple Lie group. The resulting system is described in terms of the structure theory associated to the Cartan decomposition. It is shown to possess a preserved measure and when internal symmetries are present these ..."
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Cited by 4 (2 self)
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Abstract. We relate a Chaplygin type system to a Cartan decomposition of a real semisimple Lie group. The resulting system is described in terms of the structure theory associated to the Cartan decomposition. It is shown to possess a preserved measure and when internal symmetries are present
Analysis and identification of quantum dynamics using Lie algebra homomorphisms and Cartan decompositions
, 2006
"... In this paper, we consider the problem of model equivalence for quantum systems. Two models are said to be (inputoutput) equivalent if they give the same output for every admissible input. In the case of quantum systems, the output is the expectation value of a given observable or, more in general, ..."
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, a probability distribution for the result of a quantum measurement. We link the inputoutput equivalence of two models to the existence of a homomorphism of the underlying Lie algebra. In several cases, a Cartan decomposition of the Lie algebra su(n) is useful to find such a homomorphism
Results 1  10
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197