| Title:
|
Involutions and semiinvolutions (English) |
| Author:
|
Ishibashi, Hiroyuki |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
56 |
| Issue:
|
2 |
| Year:
|
2006 |
| Pages:
|
533-541 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We define a linear map called a semiinvolution as a generalization of an involution, and show that any nilpotent linear endomorphism is a product of an involution and a semiinvolution. We also give a new proof for Djocović’s theorem on a product of two involutions. (English) |
| Keyword:
|
classical groups |
| Keyword:
|
vector spaces and linear maps |
| Keyword:
|
involutions |
| Keyword:
|
factorization of a linear map into a product of simple ones |
| MSC:
|
15A04 |
| MSC:
|
15A23 |
| MSC:
|
15A33 |
| idZBL:
|
Zbl 1164.15302 |
| idMR:
|
MR2291754 |
| . |
| Date available:
|
2009-09-24T11:35:15Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128084 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
