Some questions on the general theory of representations of groups

Twelve Papers on Topology, Algebra and Number Theory - American Mathematical Society Translations: Series 2 ◽

10.1090/trans2/052/10 ◽

1966 ◽

pp. 171-200

Author(s):

B. I. Plotkin

Keyword(s):

General Theory ◽

Representations Of Groups

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VARIETIES OF REPRESENTATIONS OF GROUPS AND VARIETIES OF ASSOCIATIVE ALGEBRAS

International Journal of Algebra and Computation ◽

10.1142/s0218196711006881 ◽

2011 ◽

Vol 21 (07) ◽

pp. 1149-1178 ◽

Cited By ~ 1

Author(s):

ELENA ALADOVA ◽

BORIS PLOTKIN

Keyword(s):

General Theory ◽

Group Representations ◽

Associative Algebras ◽

Open Problems ◽

Representations Of Groups ◽

Main Emphasis

This paper is tightly connected with the book [Varieties of Group Representations. General Theory, Connections and Applications (Zinatne, Riga, 1983) (in Russian)]. In the paper we prove new results in the spirit of the above-mentioned book. They are related to dimension subgroups, varieties of representations of groups and varieties of associative algebras. The main emphasis is put on the varieties of representations of groups induced by the varieties of associative algebras. We provide the reader with the list of open problems. For many reasons we consciously included in the text a brief review of the basic definitions and results from the theory of varieties of representations described in the book [Varieties of Group Representations. General Theory, Connections and Applications].

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Extreme self-sacrifice beyond fusion: Moral expansiveness and the special case of allyship

Behavioral and Brain Sciences ◽

10.1017/s0140525x18001620 ◽

2018 ◽

Vol 41 ◽

Cited By ~ 2

Author(s):

Daniel Crimston ◽

Matthew J. Hornsey

Keyword(s):

General Theory ◽

Biological Markers ◽

Natural Environment ◽

Relevant Dimension ◽

Special Case

AbstractAs a general theory of extreme self-sacrifice, Whitehouse's article misses one relevant dimension: people's willingness to fight and die in support of entities not bound by biological markers or ancestral kinship (allyship). We discuss research on moral expansiveness, which highlights individuals’ capacity to self-sacrifice for targets that lie outside traditional in-group markers, including racial out-groups, animals, and the natural environment.

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