Generalized double affine Hecke algebra for double torus
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DOI: 10.1007/s11005-024-01848-2
Abstract: We propose a generalization of the double affine Hecke algebra of type-C∨C1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C^\vee C_1$$\end{document} at specific parameters by introducing a “Heegaard dual” of the Hecke operators. Shown… read more here.
Keywords: affine hecke; algebra; double affine; double torus ... See more keywords
Arithmetic of double torus quotients and the distribution of periodic torus orbits
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DOI: 10.1215/00127094-2019-0016
Abstract: We describe new arithmetic invariants for pairs of torus orbits on groups isogenous to an inner form of $\mathbf{PGL}_n$ over a number field. These invariants are constructed by studying the double quotient of a linear… read more here.
Keywords: double torus; arithmetic double; periodic torus; torus ... See more keywords
Hyperbolic Geometrically Uniform Codes and Ungerboeck Partitioning on the Double Torus
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DOI: 10.3390/sym14030449
Abstract: Current research builds labelings for geometrically uniform codes on the double torus through tiling groups. At least one labeling group was provided for all of the 11 regular tessellations on the double torus, derived from… read more here.
Keywords: hyperbolic geometrically; geometrically uniform; ungerboeck partitioning; double torus ... See more keywords