Mathematics
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1
Article
- Author(s):
- Greyson C. Wesley
- Abstract:
We investigate lifting projective representations in matrix Lie groups to unitary representations. After establishing preliminary notions, we discuss finite- and infinite-dimensional representations of matrix Lie groups, emphasizing the relationship between SU(2) and SO(3) and thus providing applications in quantum physics. The application of cohomological methods in studying the lifting of projective representations is then highlighted, along with the concept of one-dimensional central exten…
- Date Created:
- 2023-04-15
- Record Visibility:
- Public
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2
Doctoral Dissertation
- Author:
- James Benn
- Advisory Committee:
- Gerard Misiolek, Karsten Grove, Alex Himonas, Richard Hind
- Degree Area:
- Mathematics
- Degree:
- Doctor of Philosophy
- Defense Date:
- 2015-03-27
- Record Visibility:
- Public
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3
Doctoral Dissertation
- Author:
- John Holmes
- Advisory Committee:
- Alexandrou Himonas, Dionyssios Mantzavinos, Bei Hu, Zhiliang Xu
- Degree Area:
- Mathematics
- Degree:
- Doctor of Philosophy
- Defense Date:
- 2015-03-07
- Record Visibility:
- Public
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4
Doctoral Dissertation
- Author:
- Quinn Culver
- Advisory Committee:
- Gregory Igusa, Francois M. Ledrappier, Julia F. Knight
- Degree Area:
- Mathematics
- Degree:
- Doctor of Philosophy
- Defense Date:
- 2015-04-10
- Record Visibility:
- Public
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5
Doctoral Dissertation
- Author:
- Renato G. Bettiol
- Advisory Committee:
- Gabor Szekelyhidi, Gerard K. Misiolek, Karsten Grove, Frederico J. Xavier
- Degree Area:
- Mathematics
- Degree:
- Doctor of Philosophy
- Defense Date:
- 2015-03-26
- Record Visibility:
- Public
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6
Doctoral Dissertation
- Author:
- Ryan Cole Thompson
- Advisory Committee:
- Alex Himonas, Gerard Misiolek, Yongtao Zhang, Alan Lindsay
- Degree Area:
- Mathematics
- Degree:
- Doctor of Philosophy
- Defense Date:
- 2015-03-03
- Record Visibility:
- Public
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7
Article
- Author(s):
- Christoph Clavius
- Abstract:
The Opera Mathematica of Christoph Clavius was compiled in 1611-1612 and contains works within the fields of both pure and applied mathematics. One of the most famous selections from this set is, of course, Clavius exposition on the Gregorian calendar. Except for the Commentary on Theodosius (1721) and the Commentary on John of Holywood’s Spheres (1784), however, there are no English translations of Clavius’ works. As Fr. MacDonnell wrote in 2001, “He was considered an illustrious mathemati…
- Date Created:
- 2014-12-02
- Record Visibility:
- Public
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8
Doctoral Dissertation
- Author:
- Justin Mathew Hilyard
- Advisory Committee:
- David Galvin, Hemanshu Kaul, Sonja Mapes, Juan Migliore
- Degree Area:
- Mathematics
- Degree:
- Doctor of Philosophy
- Defense Date:
- 2014-07-30
- Record Visibility:
- Public
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9
Doctoral Dissertation
- Author:
- Santosh Kandel
- Advisory Committee:
- Brain Hall, Stephan Stolz, Bruce Williams, Liviu Nicolaescu
- Degree Area:
- Mathematics
- Degree:
- Doctor of Philosophy
- Defense Date:
- 2014-05-28
- Record Visibility:
- Public
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10
Doctoral Dissertation
- Author:
- Nicole Rae Kroeger
- Advisory Committee:
- Brian Hall, Sam Evens, Michael Gekhtman, Matthew Dyer
- Degree Area:
- Mathematics
- Degree:
- Doctor of Philosophy
- Defense Date:
- 2014-05-16
- Record Visibility:
- Public
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11
Doctoral Dissertation
- Author:
- Victor A Ocasio
- Advisory Committee:
- Greg Igusa, Julia F. Knight, Peter Cholak, Russell Miller
- Degree Area:
- Mathematics
- Degree:
- Doctor of Philosophy
- Defense Date:
- 2014-04-09
- Record Visibility:
- Public
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12
Doctoral Dissertation
- Author:
- Yueh-Ju Lin
- Advisory Committee:
- Xiaobo Liu, Liviu Nicolaescu, Matthew Gursky, Gabor Szekelyhidi
- Degree Area:
- Mathematics
- Degree:
- Doctor of Philosophy
- Defense Date:
- 2014-03-25
- Record Visibility:
- Public