=====================================================================
                                                                    |
  Recitations for Mathematical physics - winter semester 2025/2026  |
 ___________________________________________________________________|
              ("regularly" each Monday at 9:00 in F2-125)



Offer for 30.10.2025 (Thursday)

  12.2.4
  12.2.8i,iii
 *12.2.10
  12.3.5iii,iv + 12.3.6
  12.3.7i
    No number: Consider Ad-repr of GL(n,R)
             (= in the space of all matrices, B |-> ABA^{-1})
             Check that - trace (B |-> Tr(B))
             and        - determinant (B |-> det (B))
             are interwining (!) maps between the Ad above
             and the trivial one in R
  12.3.9i,ii
  12.3.10
  12.3.13i,ii      (demanding, for QMech in summer useful)
  12.4.10          (see Appendix A1)
  12.4.11iii       (see Appendix A1)
  12.4.13i,ii      (see Appendix A1)



                september |  october  | november  |december
                       |29|06|13|20|27|03|10|17|24|01|08|15|   n
--------------------------------------------------------------------
01. Timotej  ABRHAN    | +| x| +| x|  |  |  |  |  |  |  |  |   2
--------------------------------------------------------------------
02. Matej    HUŠLA     | x| +| x| +|  |  |  |  |  |  |  |  |   2
--------------------------------------------------------------------
03. Simona   CHUŤKOVÁ  | +| -| x| +|  |  |  |  |  |  |  |  |   2
--------------------------------------------------------------------
04. xy                 | +| +| +| +|  |  |  |  |  |  |  |  |   4
--------------------------------------------------------------------
05. Marek    KRUCSAY   | x| +| x| +|  |  |  |  |  |  |  |  |   2
--------------------------------------------------------------------
06. Tibor    KURINA    | +| -| +| x|  |  |  |  |  |  |  |  |   2
--------------------------------------------------------------------
07. Dominik  NOVÁK     | x| +| +| x|  |  |  |  |  |  |  |  |   2
--------------------------------------------------------------------
08. Marek    SLIVA     | +| x| +| +|  |  |  |  |  |  |  |  |   3
--------------------------------------------------------------------
09. Radoslav SZALAI    | +| +| x| x|  |  |  |  |  |  |  |  |   2
--------------------------------------------------------------------
10. Gorazd   ŠIŠKOVIČ  | x| +| -| +|  |  |  |  |  |  |  |  |   2
--------------------------------------------------------------------


  x  = present       + = referred homework           -  = absent


The following problems have been reported in the recitations so far:

02.10.:  2.4.1   2.4.4   2.4.13   2.4.16   2.4.19
09.10.:  1.4.3   1.4.4   1.5.1    1.5.2    1.5.3   10.1.5  10.1.11
15.10.: 10.2.6  11.7.6  11.7.9   11.7.10  11.7.13
23.10.: 11.7.7  11.7.8  11.7.14  11.7.18  12.1.4   12.1.5

For each recitation, we need to do (with the whole group) 5 problems.
Any person can shift n=k to k+1
only after the whole group has n at least k.