*****************************************************************************
*       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: St001148

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

-----------------------------------------------------------------------------
Description: The dimension of the adjoint representation of the Lie group of given type.

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

-----------------------------------------------------------------------------
Code:
def statistic(C):
    return WeylCharacterRing(C).adjoint_representation().degree()


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

['A',1] => 3
['A',2] => 8
['B',2] => 10
['G',2] => 14
['A',3] => 15
['B',3] => 21
['C',3] => 21
['A',4] => 24
['B',4] => 36
['C',4] => 36
['D',4] => 28
['F',4] => 52
['A',5] => 35
['B',5] => 55
['C',5] => 55
['D',5] => 45
['A',6] => 48
['B',6] => 78
['C',6] => 78
['D',6] => 66
['E',6] => 78
['A',7] => 63
['B',7] => 105
['C',7] => 105
['D',7] => 91
['E',7] => 133
['A',8] => 80
['B',8] => 136
['C',8] => 136
['D',8] => 120
['E',8] => 248

-----------------------------------------------------------------------------
Created: Apr 19, 2018 at 10:24 by Martin Rubey

-----------------------------------------------------------------------------
Last Updated: Apr 19, 2018 at 10:24 by Martin Rubey