Research Article
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On The Lie Group of Umbrella Matrices

Year 1983, Volume: 32 , - , 01.01.1983
https://doi.org/10.1501/Commua1_0000000231

Abstract

In this paper, Umbrella matrices are defined which are selected from GL (n, |^ ) and it i» shown that Umbrella matrices form a matrix group with respect to the matrix product.
Next, a characterization of Umbrella matrices is given; among these it İs proved that the gro­ up of Umbrella matices which are selected from O (n) and the group of Doubly Umbrella matrices are subgroup of Umbrella matrices which are selected from GL (n, Later it is shown that this matrix group is a Lie subgroup of GL (n, and a characteristic property is given about this Lie group.
Finally it is shown that, the Lie group under consideration is not connected and noncompact are shown. At the end of this work, the Maurer-Cartan forms are investigated and using the prin- cipal I-forms the dimension of the Lie group under consideration is computed.

References

  • Communications, Series A1:Mathematics and Statistics
Year 1983, Volume: 32 , - , 01.01.1983
https://doi.org/10.1501/Commua1_0000000231

Abstract

References

  • Communications, Series A1:Mathematics and Statistics
There are 1 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Articles
Authors

N. Kuruoğlu This is me

Publication Date January 1, 1983
Submission Date January 1, 1983
Published in Issue Year 1983 Volume: 32

Cite

APA Kuruoğlu, N. (1983). On The Lie Group of Umbrella Matrices. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 32. https://doi.org/10.1501/Commua1_0000000231
AMA Kuruoğlu N. On The Lie Group of Umbrella Matrices. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. January 1983;32. doi:10.1501/Commua1_0000000231
Chicago Kuruoğlu, N. “On The Lie Group of Umbrella Matrices”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 32, January (January 1983). https://doi.org/10.1501/Commua1_0000000231.
EndNote Kuruoğlu N (January 1, 1983) On The Lie Group of Umbrella Matrices. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 32
IEEE N. Kuruoğlu, “On The Lie Group of Umbrella Matrices”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 32, 1983, doi: 10.1501/Commua1_0000000231.
ISNAD Kuruoğlu, N. “On The Lie Group of Umbrella Matrices”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 32 (January 1983). https://doi.org/10.1501/Commua1_0000000231.
JAMA Kuruoğlu N. On The Lie Group of Umbrella Matrices. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1983;32. doi:10.1501/Commua1_0000000231.
MLA Kuruoğlu, N. “On The Lie Group of Umbrella Matrices”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 32, 1983, doi:10.1501/Commua1_0000000231.
Vancouver Kuruoğlu N. On The Lie Group of Umbrella Matrices. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1983;32.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

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