966 research outputs found

    An interview with Millicent Baxter

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    Author and mother of James K. Baxter talks of her life and family.A Radio New Zealand Sound Archive recording dubbed by the Stout Research Centre Literary Archive

    Michael Rodriguez interviews writer Charles Baxter

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    Charles Baxter talks about his book "The Feast of Love", the relationship between the landscape of Michigan and the setting of his novels, metaphysics in his novels, his career as both a writer and a college teacher, how a male author writes female characters, and voyeurism in his book. Baxter is interviewed by Michigan State University Librarian Michael Rodriguez. Part of the MSU Libraries' Michigan Writers Series

    Iain Baxter : Landscape Works

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    Catalogue to accompany Baxter’s exhibition of approximately 40 multidisciplinary landscape works (1965-1999) in painting, photography, printmaking, video and sculpture. Tupper’s foreword draws attention to the artist’s connections with Alberta and its landscape. The author also refers to the role of landscape in Baxter’s art as a “container for the social and the self.” The artist’s statement describes the various uses of landscape in his studies and work since the late 1950s. In her biographical essay, curator Townsend analyses Baxter’s artistic contribution over four decades, giving special attention to landscape and the impact of the N. E. Thing Company (founded with Ingrid Baxter in 1966) on the genre’s renewal. Bibliography 1p. 4 bibl. ref

    Dynamical Yang-Baxter maps

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    In this work, we propose and investigate dynamical Yang- Baxter maps, some of which produce solutions to the quantum dynamical Yang-Baxter equation. Suppose that L is a loop and a group. If their unit elements coincide, then L gives birth to a bijective dynamical Yang-Baxter map from L×L to L×L whose dynamical parameter belongs to L. The above group L is abelian if and only if the corresponding dynamical Yang-Baxter map satisfies the unitary condition.IDS Number: 990C

    Details on the author\u27s visit earlier this month to Baxter State Park, who found

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    Details on the author\u27s visit earlier this month to Baxter State Park, who found a park much changed from the one visited during the summer. The author notes that the smell of a snowmobile lingers for 20 minutes after it passes

    Rota–Baxter Operators on Quadratic Algebras

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    We prove that all Rota–Baxter operators on a quadratic division algebra are trivial. For nonzero weight, we state that all Rota–Baxter operators on the simple odd-dimensional Jordan algebra of bilinear form are projections on a subalgebra along another one. For weight zero, we find a connection between the Rota–Baxter operators and the solutions to the alternative Yang–Baxter equation on the Cayley–Dickson algebra. We also investigate the Rota–Baxter operators on the matrix algebras of order two, the Grassmann algebra of plane, and the Kaplansky superalgebra.© The Author(s) 201

    Baxter Q-operator and functional relations

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    AbstractWe obtain the Baxter Q-operators in the Uq(slˆ2) invariant integrable models as a special limits of the quantum transfer matrices corresponding to different spins in the auxiliary space. We derive the Baxter equation from the well-known fusion relations for the transfer matrices. Our method is valid for an arbitrary integrable model corresponding to the quantum group Uq(slˆ2), for example for the XXZ-spin chain

    On Rota-Baxter Nijenhuis TD algebra

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    There was a long standing problem of G. C. Rota regarding the classi- fication of all linear operators on associative algebras that satisfy algebraic identities. Initially, only very few of such operators were known, for example, the derivative operator, average operator, difference operator and Rota-Baxter operator. Recently, in a paper by L. Guo, W. Sit and R. Zhang, the authors revisited Rota’s problem by concentrating on two classes of operators; differ- ential type operators and Rota-Baxter type operators. One of the Rota-Baxter type operators they found is the Rota-Baxter Nijenhuis TD (RBNTD) oper- ator which puts together the terms of the well-known Rota-Baxter operator, Nijenhuis operator and Leroux’ TD operator. In this dissertation, we initiate a systematic study of the RBNTD operator, extending the previous works on the Rota-Baxter, Nijenhuis and TD operators. After giving basic properties and examples, we construct free commutative and then free (non-commutative) RBNTD algebras. We then use free RBNTD algebras to obtain an extension of the renowned dendriform algebra with five binary operations.Ph. D.Includes bibliographical referencesMonica AggarwalVita

    Rota-Baxter operators on dihedral and alternating groups

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    Rota-Baxter operators on algebras, which appeared in 1960, have connections with different versions of the Yang-Baxter equation, pre- and postalgebras, double Poisson algebras, etc. In 2020, the notion of Rota-Baxter operator on a group was defined by L. Guo, H. Lang, Yu. Sheng. In 2023, V. Bardakov and the second author showed that all Rota-Baxter operators on simple sporadic groups are splitting, i. e. they are defined via exact factorizations. In the current work, we clarify for which nn, there exist non-splitting Rota-Baxter operators on the alternating group An\mathrm{A}_n. For the corresponding nn, we describe all non-splitting Rota-Baxter operators on An\mathrm{A}_n. Moreover, we describe Rota-Baxter operators on dihedral groups D2nD_{2n} providing the general construction which lies behind all non-splitting Rota-Baxter operators on An\mathrm{A}_n and D2nD_{2n}.Comment: 20

    Deformations of relative Rota-Baxter operators on Leibniz Triple Systems

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    In this paper, we introduce the cohomology theory of relative Rota-Baxter operators on Leibniz triple systems. We use the cohomological approach to study linear and formal deformations of relative Rota-Baxter operators. In particular, formal deformations and extendibility of order nn deformations of a relative Rota-Baxter operators are also characterized in terms of the cohomology theory. We also consider the relationship between cohomology of relative Rota-Baxter operators on Leibniz algebras and associated Leibniz triple systems.Comment: 24pages. arXiv admin note: text overlap with arXiv:2005.00729, arXiv:2204.04872 by other author
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