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Mathematical Control Theory: Deterministic Finite Dimensional Systems
 of Texts in Applied Mathematics
, 1990
"... The title of this book gives a very good description of its contents and style, although I might have added “Introduction to ” at the beginning. The style is mathematical: precise, clear statements (i.e., theorems) are asserted, then carefully proved. The book covers many of the key topics in contro ..."
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Cited by 485 (122 self)
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in control theory, except — as the subtitle has warned us — those involving stochastic processes or infinitedimensional systems. The level is appropriate for a senior
Moduli of representations of finite dimensional algebras
, 1994
"... IN this paper, we present a framework for studying moduli spaces of finite dimensional representations of an arbitrary finite dimensional algebra A over an algebraically closed field k. (The abelian category of such representations is denoted by modA.) Our motivation is twofold. Firstly, ..."
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Cited by 129 (1 self)
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IN this paper, we present a framework for studying moduli spaces of finite dimensional representations of an arbitrary finite dimensional algebra A over an algebraically closed field k. (The abelian category of such representations is denoted by modA.) Our motivation is twofold. Firstly,
ON FINITE DIMENSIONAL JACOBIAN ALGEBRAS
"... Abstract. We show that Jacobian algebras arising from a sphere with npunctures, with n ≥ 5, are finite dimensional algebras. We consider also a family of cyclically oriented quivers and we prove that, for any primitive potential, the associated Jacobian algebra is finite dimensional. 1. ..."
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Abstract. We show that Jacobian algebras arising from a sphere with npunctures, with n ≥ 5, are finite dimensional algebras. We consider also a family of cyclically oriented quivers and we prove that, for any primitive potential, the associated Jacobian algebra is finite dimensional. 1.
Finitedimensional algebras and quivers
 Encylopedia of Mathematical Physics
, 2006
"... Abstract. This is an overview article on finitedimensional algebras and quivers, written for the Encyclopedia of Mathematical Physics. We cover path algebras, RingelHall algebras and the quiver varieties of Lusztig and Nakajima. 1. ..."
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Abstract. This is an overview article on finitedimensional algebras and quivers, written for the Encyclopedia of Mathematical Physics. We cover path algebras, RingelHall algebras and the quiver varieties of Lusztig and Nakajima. 1.
On the finitedimensional PUA representations of the
, 1977
"... Abstract. The finitedimensional PUA representations of the Shubnikov space groups are discussed using the method of generalised induction given by Shaw and Lever. In particular we derive expressions for the calculation of the little groups. 1. ..."
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Abstract. The finitedimensional PUA representations of the Shubnikov space groups are discussed using the method of generalised induction given by Shaw and Lever. In particular we derive expressions for the calculation of the little groups. 1.
Finitedimensional quasilinear . . .
, 1995
"... A discretetime partially observed stochastic control problem with exponential running cost is considered. The dynamics are linear and the running cost quadratic in the state variable, but the control may enter nonlinearly. Explicit solutions for a forward Zakai equation and a backward adjoint equat ..."
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equation are derived in terms of finitedimensional dynamics. This enables the partially observed problem to be expressed in finitedimensional terms and a separation principle applied.
HYPERREFLEXIVITY OF FINITEDIMENSIONAL SUBSPACES
"... Abstract. We show that each reflexive finitedimensional subspace of operators is hyperreflexive. This gives a positive answer to a problem of Kraus and Larson. We also show that each n– dimensional subspace of Hilbert space operators is [ √ 2n]–hyperreflexive. 1. ..."
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Abstract. We show that each reflexive finitedimensional subspace of operators is hyperreflexive. This gives a positive answer to a problem of Kraus and Larson. We also show that each n– dimensional subspace of Hilbert space operators is [ √ 2n]–hyperreflexive. 1.
On the Representation Dimension of Finite Dimensional Algebras
"... this paper we work with artin algebras which are finite dimensional ..."
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Cited by 6 (1 self)
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this paper we work with artin algebras which are finite dimensional
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691,877