Categories of Symmetry Groups of the Space of Solutions of the Special Doubly Confluent Heun Equation

被引：0
|
作者：
Buchstaber, V. M. [1 ]
Tertychnyi, S., I [2 ]
机构：
[1] Russian Acad Sci, Steklov Math Inst, Moscow 119991, Russia
[2] All Russian Sci Res Inst Phys Tech & Radiotech Me, Mendeleyevsk 141570, Moscow Oblast, Russia
来源：
MATHEMATICAL NOTES | 2021年 / 110卷 / 5-6期
关键词：
doubly confluent Heun equation; symmetry groups of the space of solutions; extensions of groups; categories of groups; groups with commutator subgroup isomorphic to the group of integers;
D O I：
10.1134/S0001434621110018
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The representations of the groups G(I), G(II), G(III), G(IV) that characterize symmetries of the solution space of a special doubly confluent Heun equation are described. Categories of groups whose commutator subgroup is isomorphic to the group of integers are introduced, and an algorithm for categorical characterization of such groups is described. An implementation of the algorithm for the groups G(I), ..., G(IV) is given.
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页码：643 / 654
页数：12
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