On The Lie Group of Umbrella Matrices

N. Kuruoğlu

doi:10.1501/Commua1_0000000231

EN

On The Lie Group of Umbrella Matrices

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.

Keywords

References

Communications, Series A1:Mathematics and Statistics

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

N. Kuruoğlu This is me
Türkiye

Publication Date

January 1, 1983

Submission Date

January 1, 1983

Acceptance Date

-

Published in Issue

Year 1983 Volume: 32

DOI

https://doi.org/10.1501/Commua1_0000000231

IZ

https://izlik.org/JA55GU63JU

Cite

RIS / Bibtex

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

1.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

Chicago

Kuruoğlu, N. 1983. “On The Lie Group of Umbrella Matrices”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 32 (January). 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

[1]N. Kuruoğlu, “On The Lie Group of Umbrella Matrices”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 32, Jan. 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 1, 1983). https://doi.org/10.1501/Commua1_0000000231.

JAMA

1.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, Jan. 1983, doi:10.1501/Commua1_0000000231.

Vancouver

1.N. Kuruoğlu. On The Lie Group of Umbrella Matrices. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1983 Jan. 1;32. doi:10.1501/Commua1_0000000231