For any branched double covering of compact Riemann surfaces, we consider the associated character varieties that are unitary in the global sense, which we call
$\operatorname {\mathrm {GL}}_n\rtimes ...\!<\!\sigma {>}$
-character varieties. We restrict the monodromies around the branch points to generic semi-simple conjugacy classes contained in
$\operatorname {\mathrm {GL}}_n\sigma $
and compute the E-polynomials of these character varieties using the character table of
$\operatorname {\mathrm {GL}}_n(q)\rtimes \!<\!\sigma \!>\!$
. The result is expressed as the inner product of certain symmetric functions associated to the wreath product
$(\mathbb {Z}/2\mathbb {Z})^N\rtimes \mathfrak {S}_N$
. We are then led to a conjectural formula for the mixed Hodge polynomial, which involves (modified) Macdonald polynomials and wreath Macdonald polynomials.
Let B be a unital Banach algebra, let a member of B, G be a convex domain of C with sigma(a) subset G, let alpha, beta member of G, and let f : G right arrow C be analytic on G. By using the analytic ...functional calculus, we obtain (among others) the following result: Please download the PDF to view the mathematical expression Some examples of exponential functions on Banach algebras are also presented.
A necessary and sufficient condition is presented for a graph algebra to satisfy a bracketing identity. The associative spectrum of an arbitrary graph algebra is shown to be either constant or ...exponentially growing.
The paper explores categorical interconnections between lattice-valued relational systems and algebras of Fitting's lattice-valued modal logic. We define lattice-valued Boolean systems, and then we ...study adjointness and co-adjointness of functors defined on them. As a result, we get a duality for algebras of lattice-valued logic. Following this duality result, we establish a duality for algebras of lattice-valued modal logic. Keywords Lattice-valued Boolean systems * Lattice-valued relational systems * Algebras of Fitting's lattice-valued modal logic * Adjoint * Co-adjoint * Duality Mathematics Subject Classification (2010) 03B50 * 06D22 * 06D50 * 18B99
We consider the Plancherel measure on irreducible components of tensor powers of the spinor representation of so.sub.2n+1. With respect to this measure, the probability of an irreducible ...representation is the product of its multiplicity and dimension, divided by the total dimension of the tensor product. We study the limit shape of the highest weight as the tensor power N and the rank n of the algebra tend to infinity with N/n fixed. Bibliography: 20 titles.
This scholarly inquiry comprehensively examines Negative-Valued ??eutrosophic BF-subalgebras and Negative-Valued ??eutrosophic BF-ideals in the context of BF-algebras, aiming to scrutinize their ...intrinsic characteristics and reveal intricate interrelationships. Employing a systematic and rigorous approach, this study significantly enhances our understanding of these elements within the broader context of algebraic structures, serving as a cornerstone for the advancement of mathematical knowledge in this area and providing a robust framework for future investigations. The findings offer valuable insights, laying the groundwork for further research in this specialized domain and contributing significantly to ongoing academic discourse. By conducting a thorough examination of Negative-Valued ??eutrosophic BF-subalgebras and Negative-Valued ??eutrosophic BF-ideals, this study facilitates a deeper understanding within the broader landscape of algebraic structures and plays a pivotal role in advancing mathematical knowledge in this specialized field, fostering continued exploration and innovation. Keywords: BF-algebra; Negative-Valued ??eutrosophic Structure; Negative-Valued ??eutrosophic BF-Subalgebra; Negative-Valued ??eutrosophic BF-ideal.
This article deals about an interval-valued neutrosophic ??-algebra is a mathematical framework which incorporates the concepts of interval-valued neutrosophic sets, ??-algebra and algebraic ...operations. This innovative algebraic structure addresses the challenges posed by uncertain, imprecise, and indeterminate information in various fields. In this work, we presented the fundamentals of ??-algebra and int_val neutrosophic sets, as well as several of their attributes such as homomorphism and cartesian product. Keywords: Fuzzy sets, int_val fuzzy sets, neutrosophic set, ??-subalgebra, int_val ??-subalgebra, neutrosophic ??-subalgebra, int_val neutrosophic ??-subalgebra
We study the first cohomology space associated with the embedding of the Lie orthosymplectic superalgebra osp(n|2) on the (1, n)-dimensional superspace R.sup.1|n in the Lie superalgebra SPSIDO(n) ...(for n greater than or equal to 4) of superpseudodifferential operators with smooth coefficients. Following Ovsienko and Roger, we present explicit expressions for the basis cocycles. We propose a simple generalization of a result obtained by Basdouri Alg. Represent. Theory, 16, 35-50 (2013).
In this paper, we first prove a new parameterized identity. Based on this identity we establish some parametrized Simpson-like type symmetric inequalities, for functions whose first derivatives are ...s-tgs-convex via Reimann–Liouville frational operators. Some special cases are discussed. Applications to numerical quadrature are provided.
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