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gelfand pairs associated with the action of graph automaton groups
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نویسنده
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cavaleri matteo ,d'angeli daniele ,donno alfredo
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منبع
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international journal of group theory - 2023 - دوره : 12 - شماره : 2 - صفحه:55 -66
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چکیده
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Graph automaton groups constitute a special class of automaton groups constructed from a graph. in this paper, we show that the action of any graph automaton group on each level of the rooted regular tree gives rise to a gelfand pair. in particular, we determine the irreducible submodules of the action of such a group on the space of functions defined on each level of the tree, and we exhibit the corresponding spherical functions.
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کلیدواژه
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graph automaton group ,gelfand pair ,rooted regular tree ,2-points homogeneous action ,spherical function
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آدرس
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università degli studi niccolò cusano, dipartimento di ingegneria, italy, università degli studi niccolò cusano, dipartimento di ingegneria, italy, universita degli studi niccolo cusano, dipartimento di ingegneria, italy
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پست الکترونیکی
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alfredo.donno@unicusano.it
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Authors
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