Dirichlet Spaces Associated with Locally Finite Rooted Directed Trees
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DOI: 10.1007/s00020-017-2400-z
Abstract: Let $$\mathscr {T}=(V, \mathcal E)$$T=(V,E) be a leafless, locally finite rooted directed tree. We associate with $$\mathscr {T}$$T a one parameter family of Dirichlet spaces $$\mathscr {H}_q~(q \geqslant 1)$$Hq(q⩾1), which turn out to be Hilbert… read more here.
Keywords: directed trees; dirichlet spaces; rooted directed; finite rooted ... See more keywords
On the Relationships Between Central Series in Some Locally Finite Groups
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DOI: 10.1007/s11253-017-1318-6
Abstract: It is shown that the class of locally finite divisible-by-bounded groups is both a Schur class and a Baer class. read more here.
Keywords: relationships central; finite groups; series locally; class ... See more keywords
On images of locally finite derivations and E-derivations
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DOI: 10.1016/j.jpaa.2018.07.002
Abstract: Abstract Some cases of the LFED Conjecture, proposed by the second author [15] , for certain integral domains are proved. In particular, the LFED Conjecture is completely established for the field of fractions k (… read more here.
Keywords: derivations derivations; locally finite; images locally; lfed conjecture ... See more keywords
Quantum Automorphism Groups of Connected Locally Finite Graphs and Quantizations of Discrete Groups
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DOI: 10.1093/imrn/rnad099
Abstract: We construct for every connected locally finite graph $\Pi $ the quantum automorphism group $\operatorname{QAut} \Pi $ as a locally compact quantum group. When $\Pi $ is vertex transitive, we associate to $\Pi $ a… read more here.
Keywords: quantum automorphism; group; finite graphs; operatorname qaut ... See more keywords
Subgroups, of Chevalley groups over a locally finite field, defined by a family of additive subgroups
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DOI: 10.1134/s0001434617110190
Abstract: It is proved that every elementary carpet of nonzero additive subgroups which is associated with a Chevalley group of a Lie rank exceeding one over a locally finite field coincides, up to conjugation by a… read more here.
Keywords: finite field; field; additive subgroups; chevalley groups ... See more keywords