*****************************************************************************
*       www.FindStat.org - The Combinatorial Statistic Finder               *
*                                                                           *
*       Copyright (C) 2019 The FindStatCrew <info@findstat.org>             *
*                                                                           *
*    This information is distributed in the hope that it will be useful,    *
*    but WITHOUT ANY WARRANTY; without even the implied warranty of         *
*    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.                   *
*****************************************************************************

-----------------------------------------------------------------------------
Statistic identifier: St001370

-----------------------------------------------------------------------------
Collection: Finite Cartan types

-----------------------------------------------------------------------------
Description: The degree of the largest fundamental representation associated with a Cartan type.

-----------------------------------------------------------------------------
References: 

-----------------------------------------------------------------------------
Code:
def statistic(C):
    W = WeylCharacterRing(C)
    return max(W(w).degree() for w in W.fundamental_weights())


-----------------------------------------------------------------------------
Statistic values:

['A',1] => 2
['A',2] => 3
['B',2] => 5
['G',2] => 14
['A',3] => 6
['B',3] => 21
['C',3] => 14
['A',4] => 10
['B',4] => 84
['C',4] => 48
['D',4] => 28
['F',4] => 1274
['A',5] => 20
['B',5] => 330
['C',5] => 165
['D',5] => 120
['A',6] => 35
['B',6] => 1287
['C',6] => 572
['D',6] => 495
['E',6] => 2925
['A',7] => 70
['B',7] => 5005
['C',7] => 2002
['D',7] => 2002
['E',7] => 365750
['A',8] => 126
['B',8] => 19448
['C',8] => 7072
['D',8] => 8008

-----------------------------------------------------------------------------
Created: Mar 17, 2019 at 09:42 by Martin Rubey

-----------------------------------------------------------------------------
Last Updated: Mar 17, 2019 at 09:42 by Martin Rubey