Results 251 to 260 of about 267,415 (280)

Unitary representations of CM(3)

Journal of Physics A: Mathematical and General, 1994
Summary: Irreducible unitary representations of the group \(CM(3)\), the ``three-dimensional collective motion group', which is the semidirect product of a six-dimensional Abelian group \(T_6\) and \(SL(3, \mathbb{R})\), are constructed. A countable basis is identified in the carrier space of each representation.
David J Rowe, H. Ogura
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On pseudo-unitary representations

Czechoslovak Journal of Physics, 1987
The structure of representations of a group on a finite dimensional complex vector space with a non-degenerate invariant (indefinite) inner product is analysed in terms of layers of Gupta-Bleuler triplets.
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Unitary braid group representations

Journal of Mathematical Physics, 1995
A large class of braid group representations are proven unitary which means a Hermitian bilinear form left invariant by the representation under consideration exists. This generalizes and improves known results on the Burau and Gassner representations.
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Unitary representations and modular actions

Journal of Mathematical Sciences, 2007
A~Borel action of a~countable (discrete) group~\(\Gamma\) on a~standard Borel space~\(Y\) is said to be modular if there is a~sequence of countable Borel partitions \(\mathcal P_n\) of~\(Y\) into \(\Gamma\)-invariant sets for \(n\in\mathbb N\) such that \(\bigcup_n\mathcal P_n\) generates Borel sets. \textit{G.~Hjorth} [Trans. Am. Math. Soc.~357, No.~8,
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Unitary Representations of Supergroups

1986
To find the obstructions to integrability of representations of superalgebras, we have studied the problem of deciding on a fruitful definition of supergroup. The most natural definition turns out to be a semidirect product, G = X·Go, where Go is a Lie group and the invariant subsupergroup is in a certain sense nilpotent.
C. Fronsdal, T. Hirai
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Unitary-group canonical representations

Canadian Journal of Physics, 1989
A procedure based on symmetric-group basis states is constructed to develop and justify the formalism for the computation of unitary-group canonical matrix elements and states, the quantities needed for physical applications to prepare for such applications. It is shown that this method does give the required canonical decomposition.
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A Weight Theory for Unitary Representations

Canadian Journal of Mathematics, 1966
Over a field of characteristic 0 certain of the simple Lie algebras have a root theory, namely those called “split” in Jacobson's book (3). We shall assume some familiarity with the subject matter of this book. Then the finite-dimensional representations of these Lie algebras have a weight theory.
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Generalized unitary coupled cluster excitations for multireference molecular states optimized by the variational quantum eigensolver

International Journal of Quantum Chemistry, 2021
Gabriel Greene-diniz, David Muñoz Ramo
exaly  

A quantum computing view on unitary coupled cluster theory

Chemical Society Reviews, 2022
Philipp Schleich, Phillip W K Jensen, Abhinav Anand   +2 more
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Positive Unitary Representations

2000
In this chapter we collect some preliminaries in abstract Hilbert analysis which will be used in subsequent chapters.
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