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\textrm{ and } \ \mathfrak Z _ {r} ( \mathfrak Z _ {l} ( H) ) = H
7 KB (1,087 words) - 08:09, 6 June 2020
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[[Category:General theory of linear operators]]
5 KB (685 words) - 16:32, 6 January 2024
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Generalizations of the hypergeometric functions $ { {} _ {p} F _ {q} } $
4 KB (590 words) - 11:05, 7 June 2020
...3 : ~/encyclopedia/old_files/data/G110/G.1100050 Gamma\AAhinvariant in the theory of Abelian groups,
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6 KB (845 words) - 19:41, 5 June 2020
...mal subgroups other than $ G $ . A connected Lie group is semi-simple if and only if it splits into a locally direct product of simple non-Abelian norma
...Lie algebras (cf. [[Lie algebra, semi-simple|Lie algebra, semi-simple]]), and also to the global classification of the Lie groups $ G $ that correspon
11 KB (1,458 words) - 18:15, 12 December 2019
...while the latter is based on mappings of arbitrary spaces into polyhedra, and is especially useful whenever the application in fact involves such mapping
...tudy of ordered, rather than of oriented, simplexes by S. Eilenberg (1944) and to cubic homology theories in which cubes, rather than simplices, are emplo
9 KB (1,350 words) - 11:39, 25 October 2014
A basic result in the theory of polynomial identity rings (PI-rings). A ring $R$ is a PI-ring (cf. also
...over a commutative ring satisfies the standard polynomial of degree $2n$, and no polynomial of lower degree.
4 KB (628 words) - 21:20, 11 December 2017
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...discrete topology. Any Hausdorff space can be made into a topological semi-group, e.g. by giving it a left-singular or zero multiplication.
16 KB (2,287 words) - 14:36, 19 March 2023
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A [[Semi-group|semi-group]] in which every element is regular (see [[Regular element|Regular element]
10 KB (1,515 words) - 08:10, 6 June 2020
...(or Euclidean) space; a connection was also established between this fact and the property of an $r$-dimensional manifold (in an $n$-dimensional space) b
...groups by their dual cohomology groups of the same dimension over the dual group of coefficients.
6 KB (855 words) - 06:40, 26 March 2023
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...py equivalence, of certain types of mapping spaces. These results are vast generalizations of two different but related conjectures made by D. Sullivan in 1972.
3 KB (522 words) - 16:57, 1 July 2020
...087670/s08767013.png" /> is a [[balanced incomplete block design]] (BIBD),
and for <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.o
In 1844 W. Woolhouse stated the existence problem for Steiner systems,
and P. Kirkman solved it in 1847 for <img align="absmiddle" border="0" src="htt
32 KB (4,451 words) - 15:16, 19 March 2018
$#C+1 = 64 : ~/encyclopedia/old_files/data/R080/R.0800520 Reflection group
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12 KB (1,735 words) - 19:59, 15 March 2023
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are two algebraically-irreducible representations of some group or algebra in two vector spaces $ X $
5 KB (720 words) - 08:12, 6 June 2020
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...s of analytic function theory|boundary value problems of analytic function theory]]. It can be stated in the simplest case as follows. Let $ L $
10 KB (1,509 words) - 08:11, 6 June 2020
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...gue of the Riemann hypothesis for elliptic curves by H. Hasse in 1933. The theory of algebraic curves over an arbitrary field of constants, which was develop
8 KB (1,165 words) - 16:08, 1 April 2020
...6 : ~/encyclopedia/old_files/data/G110/G.1100060 Gamma\AAhinvariant in the theory of modular forms,
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7 KB (1,010 words) - 19:41, 5 June 2020
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...unding the complexity of decompositions as graphs of groups for a discrete group.
9 KB (1,405 words) - 15:30, 1 July 2020
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...lowing mathematical concepts (structures) occur in the definitions of Bohr and Bochner almost-periodicity: 1) the space of continuous functions defined on
13 KB (1,809 words) - 19:41, 5 June 2020
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...-theory. In the narrow sense, $ K $-theory is the generalized cohomology theory (cf. [[Generalized cohomology theories|Generalized cohomology theories]]) g
17 KB (2,459 words) - 07:32, 26 February 2022