# HG changeset patch
# User Ivo Hedtke <hedtke@me.com>
# Date 1311194106 -7200
# Node ID 119271538e74b5c374a4726753a45fb88c926e63
# Parent 9dca3876f46be512d86d82dc0b43468f0ad2c8a4
trac 11522: better typesetting for the formulas in this doc
diff --git a/sage/combinat/partition.py b/sage/combinat/partition.py
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class Partition_class(CombinatorialObjec |
| 1365 | 1365 | return d |
| 1366 | 1366 | |
| 1367 | 1367 | def centralizer_size(self, t=0, q=0): |
| 1368 | | |
| | 1368 | r""" |
| 1369 | 1369 | Returns the size of the centralizer of any permutation of cycle type |
| 1370 | | ``self``. If m_i is the multiplicity of i as a part of p, this is given |
| 1371 | | by `\prod_i (i^m[i])*(m[i]!)`. Including the optional |
| 1372 | | parameters t and q gives the q-t analog which is the former product |
| 1373 | | times `\prod_{i=1}^{length(p)} (1 - q^{p[i]}) / (1 - t^{p[i]}).` |
| | 1370 | ``self``. If `m_i` is the multiplicity of `i` as a part of `p`, this is given |
| | 1371 | by |
| | 1372 | |
| | 1373 | .. math:: |
| | 1374 | |
| | 1375 | \prod_i m_i! i^{m_i}. |
| | 1376 | |
| | 1377 | Including the optional |
| | 1378 | parameters `t` and `q` gives the `q`-`t` analog which is the former product |
| | 1379 | times |
| | 1380 | |
| | 1381 | .. math:: |
| | 1382 | |
| | 1383 | \prod_{i=1}^{\mathrm{length}(p)} \frac{1 - q^{p_i}}{1 - t^{p_i}}. |
| 1374 | 1384 | |
| 1375 | 1385 | EXAMPLES:: |
| 1376 | 1386 | |
